Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050p |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-5549311250000000 = -1 · 27 · 510 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,43737,675017] |
[a1,a2,a3,a4,a6] |
Generators |
[76:2069:1] |
Generators of the group modulo torsion |
j |
947479931975/568249472 |
j-invariant |
L |
8.2883787115118 |
L(r)(E,1)/r! |
Ω |
0.26214837838131 |
Real period |
R |
1.1291831261323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400bl1 15050m1 105350cr1 |
Quadratic twists by: -4 5 -7 |