Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768dd |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-107218796544 = -1 · 216 · 32 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -1 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20321,-1121889] |
[a1,a2,a3,a4,a6] |
Generators |
[255:3216:1] |
Generators of the group modulo torsion |
j |
-14161210570084/1636029 |
j-invariant |
L |
6.5402883042413 |
L(r)(E,1)/r! |
Ω |
0.19993024532817 |
Real period |
R |
4.0891063628842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768b1 30192b1 |
Quadratic twists by: -4 8 |