Atkin-Lehner |
2+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10664a |
Isogeny class |
Conductor |
10664 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
499520 |
Modular degree for the optimal curve |
Δ |
8.2833132816751E+21 |
Discriminant |
Eigenvalues |
2+ -2 1 2 3 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5838920,-3213948944] |
[a1,a2,a3,a4,a6] |
j |
10749577844685078038162/4044586563317939173 |
j-invariant |
L |
2.0045561576049 |
L(r)(E,1)/r! |
Ω |
0.10022780788025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21328b1 85312c1 95976p1 |
Quadratic twists by: -4 8 -3 |