Atkin-Lehner |
2+ 3+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
55056a |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-226114992 = -1 · 24 · 32 · 31 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 0 3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1943,-32334] |
[a1,a2,a3,a4,a6] |
Generators |
[7030:22746:125] |
Generators of the group modulo torsion |
j |
-50727753472000/14132187 |
j-invariant |
L |
5.0825245422322 |
L(r)(E,1)/r! |
Ω |
0.35952200403252 |
Real period |
R |
7.0684471120408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27528d1 |
Quadratic twists by: -4 |