Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960u |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-71133248356352000 = -1 · 236 · 53 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145616,-24990316] |
[a1,a2,a3,a4,a6] |
Generators |
[78540612:1304485442:132651] |
Generators of the group modulo torsion |
j |
-1701366814932001/354418688000 |
j-invariant |
L |
6.089616999983 |
L(r)(E,1)/r! |
Ω |
0.12084796299189 |
Real period |
R |
12.59768234652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370n1 50960bj1 |
Quadratic twists by: -4 -7 |