Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bp |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
12 |
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 |
[18:275:1] |
Generators of the group modulo torsion |
j |
-7744/5 |
j-invariant |
L |
8.9803853166202 |
L(r)(E,1)/r! |
Ω |
0.71341888328762 |
Real period |
R |
1.0489846311821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800bs1 19360d1 96800h1 |
Quadratic twists by: -4 5 -11 |