Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544be |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-1.966983071734E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25439196,-49844774320] |
[a1,a2,a3,a4,a6] |
j |
-152435594466395827792/1646846627220711 |
j-invariant |
L |
1.209251408723 |
L(r)(E,1)/r! |
Ω |
0.033590317106754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544em1 8568c1 22848h1 |
Quadratic twists by: -4 8 -3 |