Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472be |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
2148037199659008 = 222 · 311 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32259,32258] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:1026:1] [-41:1134:1] |
Generators of the group modulo torsion |
j |
1243337227777/719373312 |
j-invariant |
L |
10.573872196554 |
L(r)(E,1)/r! |
Ω |
0.39205203605737 |
Real period |
R |
3.3713229444238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7434c1 19824o1 |
Quadratic twists by: -4 -3 |