Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10400v |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
325000000 = 26 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10825,433500] |
[a1,a2,a3,a4,a6] |
Generators |
[56:54:1] |
Generators of the group modulo torsion |
j |
140283769536/325 |
j-invariant |
L |
4.0663805169606 |
L(r)(E,1)/r! |
Ω |
1.4811430436934 |
Real period |
R |
2.7454340310174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10400f1 20800d2 93600bt1 2080a1 |
Quadratic twists by: -4 8 -3 5 |