Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8976bf |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
95372568428544 = 220 · 32 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25024,1441076] |
[a1,a2,a3,a4,a6] |
Generators |
[124:510:1] |
Generators of the group modulo torsion |
j |
423108074414017/23284318464 |
j-invariant |
L |
4.6438490755045 |
L(r)(E,1)/r! |
Ω |
0.59196287662863 |
Real period |
R |
1.9612078978467 |
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 |
1122e2 35904bt2 26928bc2 98736dc2 |
Quadratic twists by: -4 8 -3 -11 |