Cremona's table of elliptic curves

6105 = 3 · 5 · 11 · 37

Field	Data	Notes
Atkin-Lehner	3- 5- 11- 37-	Signs for the Atkin-Lehner involutions
Class	6105j	Isogeny class
Conductor	6105	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-7.2704493999481E+22	Discriminant
Eigenvalues	-1 3- 5-  0 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1419225,-12956499468]	[a1,a2,a3,a4,a6]
Generators	[9804:966348:1]	Generators of the group modulo torsion
j	316138545817016916848399/72704493999481201171875	j-invariant
L	3.3097696397621	L(r)(E,1)/r!
Ω	0.051424300024117	Real period
R	1.3408745307058	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	97680bp5 18315i6 30525g5 67155t5	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6105j6

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-1	-	-	0	-	-2	2	4	0	-10	-8	-	-6	-12	0	-10	4	6	4	-8	2	16	12	-6	-14

---

Quadratic twists for elliptic curve 6105j6

-4	-3	5	-11
97680bp5	18315i6	30525g5	67155t5

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations