Atkin-Lehner |
2- 11+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
64328i |
Isogeny class |
Conductor |
64328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3741120 |
Modular degree for the optimal curve |
Δ |
-6.4868489700137E+22 |
Discriminant |
Eigenvalues |
2- -2 -2 1 11+ 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2734551,12130592395] |
[a1,a2,a3,a4,a6] |
Generators |
[32905188:23594417813:64] |
Generators of the group modulo torsion |
j |
8833680153303448060928/253392537891158587603 |
j-invariant |
L |
3.4140466105517 |
L(r)(E,1)/r! |
Ω |
0.082994728045469 |
Real period |
R |
10.283926132754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128656j1 |
Quadratic twists by: -4 |