Atkin-Lehner |
3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59925p |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-3538511325 = -1 · 311 · 52 · 17 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 1 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3513,79902] |
[a1,a2,a3,a4,a6] |
Generators |
[-546:705:8] [33:-30:1] |
Generators of the group modulo torsion |
j |
-191789964765625/141540453 |
j-invariant |
L |
7.1183806804456 |
L(r)(E,1)/r! |
Ω |
1.3935133210779 |
Real period |
R |
0.46438416240264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59925k1 |
Quadratic twists by: 5 |