Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630bo |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
4126938681600 = 28 · 33 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4289,45812] |
[a1,a2,a3,a4,a6] |
Generators |
[123:-1238:1] [-402:3137:8] |
Generators of the group modulo torsion |
j |
74140932601/35078400 |
j-invariant |
L |
7.507446039179 |
L(r)(E,1)/r! |
Ω |
0.69630302191421 |
Real period |
R |
0.89848885266222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890ga1 6090d1 |
Quadratic twists by: -3 -7 |