Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590cc |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
381209654285718750 = 2 · 318 · 56 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-634388,-192041719] |
[a1,a2,a3,a4,a6] |
Generators |
[-195903300:-529157213:438976] |
Generators of the group modulo torsion |
j |
38731152479900830201/522921336468750 |
j-invariant |
L |
7.4207211654116 |
L(r)(E,1)/r! |
Ω |
0.16930341837326 |
Real period |
R |
10.957724945308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530q2 |
Quadratic twists by: -3 |