Atkin-Lehner |
2+ 5- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15770c |
Isogeny class |
Conductor |
15770 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1720 |
Modular degree for the optimal curve |
Δ |
-252320 = -1 · 25 · 5 · 19 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 4 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12,18] |
[a1,a2,a3,a4,a6] |
j |
214921799/252320 |
j-invariant |
L |
2.0794268321268 |
L(r)(E,1)/r! |
Ω |
2.0794268321268 |
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 |
126160e1 78850k1 |
Quadratic twists by: -4 5 |