Atkin-Lehner |
2- 3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950bh |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1595443824000000 = -1 · 210 · 33 · 56 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19962,-1577469] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1247:1] |
Generators of the group modulo torsion |
j |
56300788871783/102108404736 |
j-invariant |
L |
8.7596868963872 |
L(r)(E,1)/r! |
Ω |
0.24886989614168 |
Real period |
R |
0.58663094196722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3198b1 |
Quadratic twists by: 5 |