Atkin-Lehner |
2- 3+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384u |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
92860674490368 = 214 · 38 · 233 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 0 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288816,59836608] |
[a1,a2,a3,a4,a6] |
Generators |
[362:1610:1] |
Generators of the group modulo torsion |
j |
650472610581916849/22671063108 |
j-invariant |
L |
7.5566330813489 |
L(r)(E,1)/r! |
Ω |
0.56284449893229 |
Real period |
R |
2.2376319730761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798j1 |
Quadratic twists by: -4 |