Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800ca |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
8857805000000 = 26 · 57 · 116 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19158,1004188] |
[a1,a2,a3,a4,a6] |
Generators |
[62:242:1] |
Generators of the group modulo torsion |
j |
438976/5 |
j-invariant |
L |
4.3752928939293 |
L(r)(E,1)/r! |
Ω |
0.73510785153142 |
Real period |
R |
1.4879765222597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96800s1 19360e1 800c1 |
Quadratic twists by: -4 5 -11 |