Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3952j |
Isogeny class |
Conductor |
3952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-26612590444544 = -1 · 225 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 1 -1 3 4 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16016,-824044] |
[a1,a2,a3,a4,a6] |
j |
-110931033861649/6497214464 |
j-invariant |
L |
2.5376835278137 |
L(r)(E,1)/r! |
Ω |
0.21147362731781 |
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 |
494d1 15808o1 35568ce1 98800bq1 |
Quadratic twists by: -4 8 -3 5 |