Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bv |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-116757587700000000 = -1 · 28 · 312 · 58 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40708,-16727588] |
[a1,a2,a3,a4,a6] |
j |
-74605986640/1167575877 |
j-invariant |
L |
2.5643582696508 |
L(r)(E,1)/r! |
Ω |
0.14246434831393 |
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 |
3900m1 62400hr1 46800fg1 15600ca1 |
Quadratic twists by: -4 8 -3 5 |