Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78792q |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
536610182863104 = 28 · 34 · 78 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69204,6941124] |
[a1,a2,a3,a4,a6] |
Generators |
[40:2058:1] |
Generators of the group modulo torsion |
j |
1217013440848/17816841 |
j-invariant |
L |
3.2597786121724 |
L(r)(E,1)/r! |
Ω |
0.52144239564525 |
Real period |
R |
1.5628661187289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000249 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11256e2 |
Quadratic twists by: -7 |