Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800j |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-424804687500000000 = -1 · 28 · 3 · 519 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 5 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159633,-39771363] |
[a1,a2,a3,a4,a6] |
j |
-112469423174656/106201171875 |
j-invariant |
L |
2.0695225907253 |
L(r)(E,1)/r! |
Ω |
0.11497347726307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17400bm1 104400r1 6960s1 |
Quadratic twists by: -4 -3 5 |