Atkin-Lehner |
3+ 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31059b |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-22371462154994211 = -1 · 33 · 74 · 177 · 292 |
Discriminant |
Eigenvalues |
0 3+ -3 7+ -3 3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,40776,-6460783] |
[a1,a2,a3,a4,a6] |
Generators |
[753:-21242:1] |
Generators of the group modulo torsion |
j |
277698676361527296/828572672407193 |
j-invariant |
L |
2.6149149001509 |
L(r)(E,1)/r! |
Ω |
0.19531071511879 |
Real period |
R |
0.2390801185837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31059a1 |
Quadratic twists by: -3 |