Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350ct |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
42961218048000 = 212 · 310 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106947,-13431339] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:113:1] |
Generators of the group modulo torsion |
j |
1484548104174533/471453696 |
j-invariant |
L |
4.6666153845879 |
L(r)(E,1)/r! |
Ω |
0.26400702886518 |
Real period |
R |
2.2095128517487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450de1 91350fe1 |
Quadratic twists by: -3 5 |