Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
96278t |
Isogeny class |
Conductor |
96278 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-11408557888 = -1 · 26 · 72 · 13 · 234 |
Discriminant |
Eigenvalues |
2- -2 0 7- 3 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6888,219520] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-16:1] |
Generators of the group modulo torsion |
j |
-129150390625/40768 |
j-invariant |
L |
7.8765549502561 |
L(r)(E,1)/r! |
Ω |
1.2484627058742 |
Real period |
R |
1.5772507479292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004886 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96278l1 |
Quadratic twists by: -23 |