Atkin-Lehner |
2- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50350k |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-215844156250 = -1 · 2 · 56 · 194 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 1 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-488,22531] |
[a1,a2,a3,a4,a6] |
Generators |
[1318:16209:8] |
Generators of the group modulo torsion |
j |
-822656953/13814026 |
j-invariant |
L |
14.751953275165 |
L(r)(E,1)/r! |
Ω |
0.8420324291321 |
Real period |
R |
4.3798649448527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2014b1 |
Quadratic twists by: 5 |