Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302c |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
612599213815056 = 24 · 39 · 137 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32226,-1873468] |
[a1,a2,a3,a4,a6] |
Generators |
[-46193:57994:343] |
Generators of the group modulo torsion |
j |
38958219/6448 |
j-invariant |
L |
5.2316674914442 |
L(r)(E,1)/r! |
Ω |
0.36032960698762 |
Real period |
R |
7.2595581737094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94302bj1 7254k1 |
Quadratic twists by: -3 13 |