Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19760t |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
143424 |
Modular degree for the optimal curve |
Δ |
-22291750000 = -1 · 24 · 56 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -6 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-626126,-190487065] |
[a1,a2,a3,a4,a6] |
Generators |
[16493774492138701767921:599779129880843666982125:9453263958940420737] |
Generators of the group modulo torsion |
j |
-1696639751279573488384/1393234375 |
j-invariant |
L |
5.8402885300576 |
L(r)(E,1)/r! |
Ω |
0.084860203053386 |
Real period |
R |
34.41123353419 |
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 |
4940e1 79040ca1 98800bn1 |
Quadratic twists by: -4 8 5 |