Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478cj |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
18057600 |
Modular degree for the optimal curve |
Δ |
9.9314642731766E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-217657076,-1226578334889] |
[a1,a2,a3,a4,a6] |
j |
4847659921191907/42218553344 |
j-invariant |
L |
3.5393789676297 |
L(r)(E,1)/r! |
Ω |
0.039326432984331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7942c1 71478w1 |
Quadratic twists by: -3 -19 |