Atkin-Lehner |
5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
19355f |
Isogeny class |
Conductor |
19355 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1368 |
Modular degree for the optimal curve |
Δ |
-483875 = -1 · 53 · 72 · 79 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 3 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,19,6] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
14680064/9875 |
j-invariant |
L |
2.82137742401 |
L(r)(E,1)/r! |
Ω |
1.8551986175061 |
Real period |
R |
1.520795346324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96775i1 19355i1 |
Quadratic twists by: 5 -7 |