Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968bw |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
580617580032 = 29 · 34 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62344,6012280] |
[a1,a2,a3,a4,a6] |
j |
444893916104/9639 |
j-invariant |
L |
1.6972058020191 |
L(r)(E,1)/r! |
Ω |
0.84860290355784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79968bd4 11424r2 |
Quadratic twists by: -4 -7 |