Atkin-Lehner |
2- 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210r |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
25955578440 = 23 · 313 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ -3 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1201,-14521] |
[a1,a2,a3,a4,a6] |
j |
191591101730449/25955578440 |
j-invariant |
L |
2.4547781374123 |
L(r)(E,1)/r! |
Ω |
0.81825937913745 |
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 |
97680cm1 36630p1 61050y1 |
Quadratic twists by: -4 -3 5 |