Cremona's table of elliptic curves

930 = 2 · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 31+	Signs for the Atkin-Lehner involutions
Class	930h	Isogeny class
Conductor	930	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	457629750000 = 24 · 310 · 56 · 31	Discriminant
Eigenvalues	2+ 3- 5- -2 -4 -4  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2013,-12344]	[a1,a2,a3,a4,a6]
Generators	[-25:162:1]	Generators of the group modulo torsion
j	901456690969801/457629750000	j-invariant
L	2.082106753819	L(r)(E,1)/r!
Ω	0.75218734996806	Real period
R	0.092268978551127	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	7440p2 29760d2 2790t2 4650x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 930h2

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
+	-	-	-2	-4	-4	2	-8	-8	4	+	-12	10	8	-4	6	2	10	-6	6	-4	-8	4	0	-18

---

Quadratic twists for elliptic curve 930h2

-4	8	-3	5	-7	-11	-31
7440p2	29760d2	2790t2	4650x2	45570g2	112530cz2	28830j2

---

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