Cremona's table of elliptic curves

7755 = 3 · 5 · 11 · 47

Field	Data	Notes
Atkin-Lehner	3- 5- 11- 47+	Signs for the Atkin-Lehner involutions
Class	7755h	Isogeny class
Conductor	7755	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1473323362196461875 = -1 · 32 · 54 · 11 · 478	Discriminant
Eigenvalues	-1 3- 5-  0 11-  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,228340,-40560525]	[a1,a2,a3,a4,a6]
j	1316647695717134141759/1473323362196461875	j-invariant
L	2.3203957330712	L(r)(E,1)/r!
Ω	0.14502473331695	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	124080bm5 23265n5 38775d5 85305z5	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7755h6

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	-	6	2	4	8	6	0	6	2	12	+	-10	12	-2	-12	8	-14	8	-4	-6	2

---

Quadratic twists for elliptic curve 7755h6

-4	-3	5	-11
124080bm5	23265n5	38775d5	85305z5

---

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