Atkin-Lehner |
2+ 3+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
94536a |
Isogeny class |
Conductor |
94536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-688464385560417024 = -1 · 28 · 39 · 13 · 1015 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,145044,-33787692] |
[a1,a2,a3,a4,a6] |
Generators |
[40230:849906:125] |
Generators of the group modulo torsion |
j |
66971767182336/136631306513 |
j-invariant |
L |
8.4979892191976 |
L(r)(E,1)/r! |
Ω |
0.149234757788 |
Real period |
R |
7.1179708244368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94536e1 |
Quadratic twists by: -3 |