Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240h |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
38577514766400 = 26 · 314 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17553,-843752] |
[a1,a2,a3,a4,a6] |
Generators |
[333983:66600:2197] |
Generators of the group modulo torsion |
j |
12819475843264/826850025 |
j-invariant |
L |
6.9191508890751 |
L(r)(E,1)/r! |
Ω |
0.41645261044426 |
Real period |
R |
8.3072487923264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981596 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102240e1 34080bf1 |
Quadratic twists by: -4 -3 |