Atkin-Lehner |
2+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31552d |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-655867897170952192 = -1 · 216 · 177 · 293 |
Discriminant |
Eigenvalues |
2+ -2 0 3 4 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-399873,104703199] |
[a1,a2,a3,a4,a6] |
Generators |
[9645:945292:1] |
Generators of the group modulo torsion |
j |
-107897432486570500/10007749895797 |
j-invariant |
L |
4.7730888133932 |
L(r)(E,1)/r! |
Ω |
0.28106266746474 |
Real period |
R |
8.4911469325462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31552n1 3944a1 |
Quadratic twists by: -4 8 |