Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350i |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-29647548000000 = -1 · 28 · 32 · 56 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4925,-295875] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
j-invariant |
L |
1.0662376634749 |
L(r)(E,1)/r! |
Ω |
0.26655941586873 |
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 |
58800ix1 22050eq1 294c1 1050h1 |
Quadratic twists by: -4 -3 5 -7 |