Atkin-Lehner |
2- 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302bj |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
840328139664 = 24 · 33 · 137 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3581,70581] |
[a1,a2,a3,a4,a6] |
j |
38958219/6448 |
j-invariant |
L |
3.4041713451495 |
L(r)(E,1)/r! |
Ω |
0.85104286027957 |
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 |
94302c1 7254c1 |
Quadratic twists by: -3 13 |