Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968be |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7606864455192576 = -1 · 212 · 33 · 77 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30511,-3650529] |
[a1,a2,a3,a4,a6] |
j |
6518244032/15785469 |
j-invariant |
L |
2.5864908685523 |
L(r)(E,1)/r! |
Ω |
0.21554090353554 |
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 |
79968bx2 11424a4 |
Quadratic twists by: -4 -7 |