Atkin-Lehner |
3- 5- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118755n |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
53036413486875 = 38 · 54 · 7 · 133 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-737784,-243732335] |
[a1,a2,a3,a4,a6] |
Generators |
[-496:257:1] |
Generators of the group modulo torsion |
j |
60923411290237362049/72752281875 |
j-invariant |
L |
9.6032598385639 |
L(r)(E,1)/r! |
Ω |
0.16289856180742 |
Real period |
R |
2.4563496764696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999253704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39585c2 |
Quadratic twists by: -3 |