Atkin-Lehner |
2- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31552n |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
4 |
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] |
j |
-107897432486570500/10007749895797 |
j-invariant |
L |
1.5108542614606 |
L(r)(E,1)/r! |
Ω |
0.094428391341402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31552d1 7888b1 |
Quadratic twists by: -4 8 |