Atkin-Lehner |
5+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19565c |
Isogeny class |
Conductor |
19565 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
42720 |
Modular degree for the optimal curve |
Δ |
1672221039125 = 53 · 7 · 13 · 435 |
Discriminant |
Eigenvalues |
-2 2 5+ 7+ -2 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3036,-15608] |
[a1,a2,a3,a4,a6] |
Generators |
[203:2773:1] |
Generators of the group modulo torsion |
j |
3095793999990784/1672221039125 |
j-invariant |
L |
3.1574534810153 |
L(r)(E,1)/r! |
Ω |
0.6851945571632 |
Real period |
R |
0.9216224641619 |
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 |
97825k1 |
Quadratic twists by: 5 |