Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525cl |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
2912032115384175 = 316 · 52 · 76 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 5 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40696,-1804477] |
[a1,a2,a3,a4,a6] |
j |
2534167381585/990074583 |
j-invariant |
L |
5.5604584602565 |
L(r)(E,1)/r! |
Ω |
0.34752865496045 |
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 |
84525bb1 1725e1 |
Quadratic twists by: 5 -7 |