Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656z |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-7130433817584 = -1 · 24 · 33 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28596,-1875249] |
[a1,a2,a3,a4,a6] |
j |
-91238612224/251559 |
j-invariant |
L |
2.2024268724506 |
L(r)(E,1)/r! |
Ω |
0.18353557271454 |
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 |
20328o1 121968by1 3696l1 |
Quadratic twists by: -4 -3 -11 |