Atkin-Lehner |
5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
19355f |
Isogeny class |
Conductor |
19355 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-120794555 = -1 · 5 · 72 · 793 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 3 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-331,2491] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:39:1] |
Generators of the group modulo torsion |
j |
-82096193536/2465195 |
j-invariant |
L |
2.82137742401 |
L(r)(E,1)/r! |
Ω |
1.8551986175061 |
Real period |
R |
0.50693178210801 |
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 |
96775i2 19355i2 |
Quadratic twists by: 5 -7 |