Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8976bf |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-391724179621429248 = -1 · 214 · 38 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-389504,98162100] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:13662:1] |
Generators of the group modulo torsion |
j |
-1595514095015181697/95635786040388 |
j-invariant |
L |
4.6438490755045 |
L(r)(E,1)/r! |
Ω |
0.29598143831432 |
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 |
1122e6 35904bt5 26928bc5 98736dc5 |
Quadratic twists by: -4 8 -3 -11 |