Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fe |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-3513840000000 = -1 · 210 · 3 · 57 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67921,-6791255] |
[a1,a2,a3,a4,a6] |
Generators |
[368909719490861952:27532889579826158729:66071557334483] |
Generators of the group modulo torsion |
j |
-2311381447936/234375 |
j-invariant |
L |
4.4165216846477 |
L(r)(E,1)/r! |
Ω |
0.14786499272053 |
Real period |
R |
29.868609218378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160cy1 29040bh1 116160fd1 |
Quadratic twists by: -4 8 -11 |