Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650ca |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-190356480000000 = -1 · 216 · 37 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18005,-1138003] |
[a1,a2,a3,a4,a6] |
j |
-56667352321/16711680 |
j-invariant |
L |
3.2477984990179 |
L(r)(E,1)/r! |
Ω |
0.20298740618862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200ff1 2550h1 1530c1 |
Quadratic twists by: -4 -3 5 |