Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232br |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1086229315584 = -1 · 220 · 36 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14691,687202] |
[a1,a2,a3,a4,a6] |
j |
-117433042273/363776 |
j-invariant |
L |
3.5018701189921 |
L(r)(E,1)/r! |
Ω |
0.87546752974822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3654i1 116928ey1 3248n1 |
Quadratic twists by: -4 8 -3 |