Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950jd |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1300992 |
Modular degree for the optimal curve |
Δ |
-7902850394880000 = -1 · 211 · 32 · 54 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5538,-4280508] |
[a1,a2,a3,a4,a6] |
j |
-744775/313344 |
j-invariant |
L |
8.2065882596472 |
L(r)(E,1)/r! |
Ω |
0.18651340358227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950q1 124950go1 |
Quadratic twists by: 5 -7 |