Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bm |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
8548384768 = 217 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 11- 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-737,-6047] |
[a1,a2,a3,a4,a6] |
Generators |
[41:176:1] |
Generators of the group modulo torsion |
j |
6902546/1331 |
j-invariant |
L |
5.7428298625115 |
L(r)(E,1)/r! |
Ω |
0.9284669319828 |
Real period |
R |
0.51544017209876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496cl1 4312c1 34496e1 |
Quadratic twists by: -4 8 -7 |