Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400fw |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
2014104780800 = 225 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6860,207760] |
[a1,a2,a3,a4,a6] |
j |
2268945/128 |
j-invariant |
L |
1.6319947851869 |
L(r)(E,1)/r! |
Ω |
0.81599738257098 |
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 |
78400a1 19600br1 78400jh1 78400gv1 |
Quadratic twists by: -4 8 5 -7 |