Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29792n |
Isogeny class |
Conductor |
29792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-3813376 = -1 · 212 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 2 1 7- 0 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1325,19013] |
[a1,a2,a3,a4,a6] |
j |
-1282753024/19 |
j-invariant |
L |
4.5405855848102 |
L(r)(E,1)/r! |
Ω |
2.2702927924057 |
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 |
29792k1 59584cr1 29792e1 |
Quadratic twists by: -4 8 -7 |