Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200dh |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
236800000000 = 214 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3 5+ -5 -3 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2800,-52000] |
[a1,a2,a3,a4,a6] |
Generators |
[-25695:39275:729] |
Generators of the group modulo torsion |
j |
9483264/925 |
j-invariant |
L |
8.4738693680532 |
L(r)(E,1)/r! |
Ω |
0.66042733531132 |
Real period |
R |
6.4154441485098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200bk1 14800e1 11840bj1 |
Quadratic twists by: -4 8 5 |