Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474ca |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.8382282630649E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6624779,-720796917] |
[a1,a2,a3,a4,a6] |
j |
937537615877617/535982123664 |
j-invariant |
L |
3.2622868597727 |
L(r)(E,1)/r! |
Ω |
0.10194646500602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28158b3 4446h4 |
Quadratic twists by: -3 -19 |