Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
94136b |
Isogeny class |
Conductor |
94136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3201280 |
Modular degree for the optimal curve |
Δ |
4693347411471824896 = 211 · 7 · 419 |
Discriminant |
Eigenvalues |
2+ 3 3 7+ 0 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-758131,-231712402] |
[a1,a2,a3,a4,a6] |
Generators |
[-510865514612435193351236564726790:4588188450445126576824469385261941:981112657228830199065805281000] |
Generators of the group modulo torsion |
j |
71874/7 |
j-invariant |
L |
15.264797020079 |
L(r)(E,1)/r! |
Ω |
0.16280737966933 |
Real period |
R |
46.8799296785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94136c1 |
Quadratic twists by: 41 |