Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736dk |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-2.2292516195213E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 11- -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-275557,-2272404433] |
[a1,a2,a3,a4,a6] |
Generators |
[2779:135762:1] |
Generators of the group modulo torsion |
j |
-5102271397888/4915446963867 |
j-invariant |
L |
6.5971332480326 |
L(r)(E,1)/r! |
Ω |
0.06588945780865 |
Real period |
R |
0.89396661426728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684f1 8976be1 |
Quadratic twists by: -4 -11 |