Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98020k |
Isogeny class |
Conductor |
98020 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1274260000000 = 28 · 57 · 133 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 3 0 13- -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9325,-339223] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:65:1] |
Generators of the group modulo torsion |
j |
159458172928/2265625 |
j-invariant |
L |
7.1919715257359 |
L(r)(E,1)/r! |
Ω |
0.48624715526085 |
Real period |
R |
1.0564838221948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999750241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98020f1 |
Quadratic twists by: 13 |