Atkin-Lehner |
2- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
24332b |
Isogeny class |
Conductor |
24332 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
37584 |
Modular degree for the optimal curve |
Δ |
-9232923392 = -1 · 28 · 73 · 113 · 79 |
Discriminant |
Eigenvalues |
2- 3 4 7+ 11- -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,512,1220] |
[a1,a2,a3,a4,a6] |
j |
57982058496/36066107 |
j-invariant |
L |
7.2274767431185 |
L(r)(E,1)/r! |
Ω |
0.8030529714576 |
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 |
97328ba1 |
Quadratic twists by: -4 |