Atkin-Lehner |
2- 13- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90896q |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1133568 |
Modular degree for the optimal curve |
Δ |
19525747270721536 = 213 · 134 · 193 · 233 |
Discriminant |
Eigenvalues |
2- -1 3 -2 -3 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-798584,-274332944] |
[a1,a2,a3,a4,a6] |
Generators |
[-4070:793:8] |
Generators of the group modulo torsion |
j |
13750741629861622777/4767028142266 |
j-invariant |
L |
5.7144690878805 |
L(r)(E,1)/r! |
Ω |
0.15970863346945 |
Real period |
R |
4.4725737097246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362f1 |
Quadratic twists by: -4 |