Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
51912s |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
303360 |
Modular degree for the optimal curve |
Δ |
-1076447232 = -1 · 211 · 36 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1494219,-703022938] |
[a1,a2,a3,a4,a6] |
j |
-247120625675830034/721 |
j-invariant |
L |
3.3455080211658 |
L(r)(E,1)/r! |
Ω |
0.068275673893633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103824m1 5768c1 |
Quadratic twists by: -4 -3 |