Atkin-Lehner |
2+ 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312bg |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-24943992373248 = -1 · 217 · 3 · 13 · 474 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3711,-222753] |
[a1,a2,a3,a4,a6] |
Generators |
[778:8265:8] |
Generators of the group modulo torsion |
j |
43109165374/190307559 |
j-invariant |
L |
4.3128079473937 |
L(r)(E,1)/r! |
Ω |
0.33931891321222 |
Real period |
R |
6.3550950570626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312ck3 14664e4 |
Quadratic twists by: -4 8 |