Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ca |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
2569011200 = 221 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-513,-3583] |
[a1,a2,a3,a4,a6] |
j |
46585/8 |
j-invariant |
L |
4.0590100248637 |
L(r)(E,1)/r! |
Ω |
1.01475251761 |
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 |
78400ij1 2450x1 78400fk1 78400j1 |
Quadratic twists by: -4 8 5 -7 |