Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568ch |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1600434045546725376 = 216 · 38 · 134 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-293619,-6741070] |
[a1,a2,a3,a4,a6] |
Generators |
[-473:5130:1] |
Generators of the group modulo torsion |
j |
937537615877617/535982123664 |
j-invariant |
L |
7.2153264687323 |
L(r)(E,1)/r! |
Ω |
0.22218716930621 |
Real period |
R |
2.029630719469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4446h4 11856z4 |
Quadratic twists by: -4 -3 |