Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bs |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-4685120000000 = -1 · 212 · 57 · 114 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4033,-142063] |
[a1,a2,a3,a4,a6] |
Generators |
[107:800:1] |
Generators of the group modulo torsion |
j |
-7744/5 |
j-invariant |
L |
3.1262682106795 |
L(r)(E,1)/r! |
Ω |
0.29108087747068 |
Real period |
R |
2.6850511790496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800bp1 19360c1 96800n1 |
Quadratic twists by: -4 5 -11 |