Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19698i |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
146160 |
Modular degree for the optimal curve |
Δ |
-5326352926196736 = -1 · 210 · 3 · 78 · 673 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,43511,372791] |
[a1,a2,a3,a4,a6] |
j |
1580286980783/923943936 |
j-invariant |
L |
2.5999124181252 |
L(r)(E,1)/r! |
Ω |
0.25999124181252 |
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 |
59094n1 19698p1 |
Quadratic twists by: -3 -7 |