Atkin-Lehner |
2+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83824h |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
2598544 = 24 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ -3 -2 -5 3 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91,325] |
[a1,a2,a3,a4,a6] |
Generators |
[12:31:1] [4:5:1] |
Generators of the group modulo torsion |
j |
30820608/961 |
j-invariant |
L |
5.0215397711243 |
L(r)(E,1)/r! |
Ω |
2.5516116874505 |
Real period |
R |
0.98399372363104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41912g1 83824d1 |
Quadratic twists by: -4 13 |