Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bd |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
592800 |
Modular degree for the optimal curve |
Δ |
535859562700800 = 213 · 35 · 52 · 135 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 2 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-452188,-117221059] |
[a1,a2,a3,a4,a6] |
j |
409016532427702875625/21434382508032 |
j-invariant |
L |
2.3933957158125 |
L(r)(E,1)/r! |
Ω |
0.18410736276039 |
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 |
56550ba1 |
Quadratic twists by: 5 |