Atkin-Lehner |
2- 3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642bx |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
154624 |
Modular degree for the optimal curve |
Δ |
-412754889456 = -1 · 24 · 37 · 7 · 134 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1796,43031] |
[a1,a2,a3,a4,a6] |
j |
-878392183033/566193264 |
j-invariant |
L |
3.494200572933 |
L(r)(E,1)/r! |
Ω |
0.87355014847987 |
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 |
32214l1 |
Quadratic twists by: -3 |