Atkin-Lehner |
5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
19355i |
Isogeny class |
Conductor |
19355 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
9576 |
Modular degree for the optimal curve |
Δ |
-56927409875 = -1 · 53 · 78 · 79 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,915,-3986] |
[a1,a2,a3,a4,a6] |
Generators |
[26982:208331:729] |
Generators of the group modulo torsion |
j |
14680064/9875 |
j-invariant |
L |
5.338877398225 |
L(r)(E,1)/r! |
Ω |
0.63329711577531 |
Real period |
R |
8.4302885095077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96775a1 19355f1 |
Quadratic twists by: 5 -7 |