Atkin-Lehner |
5+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
45725a |
Isogeny class |
Conductor |
45725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-26345458984375 = -1 · 512 · 31 · 592 |
Discriminant |
Eigenvalues |
1 0 5+ 0 4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61442,5882591] |
[a1,a2,a3,a4,a6] |
Generators |
[658:15483:1] |
Generators of the group modulo torsion |
j |
-1641737408164209/1686109375 |
j-invariant |
L |
5.8550019667196 |
L(r)(E,1)/r! |
Ω |
0.66546944047182 |
Real period |
R |
4.3991516444023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9145a1 |
Quadratic twists by: 5 |