Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968bx |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
77730178526784 = 26 · 36 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15794,640704] |
[a1,a2,a3,a4,a6] |
j |
57870788032/10323369 |
j-invariant |
L |
1.1636785993923 |
L(r)(E,1)/r! |
Ω |
0.58183928442757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79968be1 11424v1 |
Quadratic twists by: -4 -7 |