Atkin-Lehner |
2+ 3- 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050bc |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
380540160 |
Modular degree for the optimal curve |
Δ |
4.9135312753395E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -3 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11236645901,457218739165448] |
[a1,a2,a3,a4,a6] |
j |
10041850968216413574571976426689/31446600162172884000000000 |
j-invariant |
L |
4.1409831116588 |
L(r)(E,1)/r! |
Ω |
0.029578444305015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010l1 |
Quadratic twists by: 5 |