Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150r |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-240344192250000 = -1 · 24 · 315 · 56 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32517,-2368859] |
[a1,a2,a3,a4,a6] |
j |
-333822098953/21100176 |
j-invariant |
L |
1.4169236567103 |
L(r)(E,1)/r! |
Ω |
0.17711545708872 |
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 |
10050t1 1206f1 |
Quadratic twists by: -3 5 |