Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280r |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-92568780800 = -1 · 215 · 52 · 173 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1104,3520] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-170:1] [24:208:1] |
Generators of the group modulo torsion |
j |
36297569231/22599800 |
j-invariant |
L |
6.8862759608935 |
L(r)(E,1)/r! |
Ω |
0.6628596807714 |
Real period |
R |
0.43286410889157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910k1 125120dd1 |
Quadratic twists by: -4 8 |