Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965q |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-27613367965995 = -1 · 3 · 5 · 713 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -4 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2679,248021] |
[a1,a2,a3,a4,a6] |
j |
18067226624/234709755 |
j-invariant |
L |
0.98541525692991 |
L(r)(E,1)/r! |
Ω |
0.49270762846495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41895br1 69825m1 1995b1 |
Quadratic twists by: -3 5 -7 |