Atkin-Lehner |
2- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31552v |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-149397962752 = -1 · 220 · 173 · 29 |
Discriminant |
Eigenvalues |
2- -2 0 -5 0 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,607,17887] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-1088:1] [1:136:1] |
Generators of the group modulo torsion |
j |
94196375/569908 |
j-invariant |
L |
5.1556133619305 |
L(r)(E,1)/r! |
Ω |
0.74474754939908 |
Real period |
R |
0.57688601617314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31552l1 7888g1 |
Quadratic twists by: -4 8 |