Atkin-Lehner |
2- 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19780h |
Isogeny class |
Conductor |
19780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-6329600 = -1 · 28 · 52 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -1 5- -2 1 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180,1000] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-10:1] |
Generators of the group modulo torsion |
j |
-2533446736/24725 |
j-invariant |
L |
3.728791470173 |
L(r)(E,1)/r! |
Ω |
2.3923393653942 |
Real period |
R |
0.2597730297041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79120t1 98900a1 |
Quadratic twists by: -4 5 |