Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
56316g |
Isogeny class |
Conductor |
56316 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-2026172776672512 = -1 · 28 · 310 · 135 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 1 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19956,-2415672] |
[a1,a2,a3,a4,a6] |
Generators |
[21342:3117690:1] |
Generators of the group modulo torsion |
j |
-9510838193104/21924480357 |
j-invariant |
L |
7.0968071129184 |
L(r)(E,1)/r! |
Ω |
0.18768177729539 |
Real period |
R |
6.3021631749785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56316n1 |
Quadratic twists by: -19 |