Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484c |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
347447683848861648 = 24 · 36 · 139 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204377,21526062] |
[a1,a2,a3,a4,a6] |
Generators |
[15914:692021:8] |
Generators of the group modulo torsion |
j |
12224801062912/4498930917 |
j-invariant |
L |
7.8373980418204 |
L(r)(E,1)/r! |
Ω |
0.27737968354868 |
Real period |
R |
7.0637816049365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268c1 |
Quadratic twists by: 13 |