Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
56316d |
Isogeny class |
Conductor |
56316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
85536 |
Modular degree for the optimal curve |
Δ |
7133661027792 = 24 · 36 · 13 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4813,-1190] |
[a1,a2,a3,a4,a6] |
Generators |
[-125818:954477:2744] |
Generators of the group modulo torsion |
j |
16384000/9477 |
j-invariant |
L |
5.0941670555152 |
L(r)(E,1)/r! |
Ω |
0.62780903987734 |
Real period |
R |
8.1141983182103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
156b1 |
Quadratic twists by: -19 |