Atkin-Lehner |
2+ 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456d |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-395695694592 = -1 · 28 · 39 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-324,30348] |
[a1,a2,a3,a4,a6] |
j |
-746496/78529 |
j-invariant |
L |
4.6754440674797 |
L(r)(E,1)/r! |
Ω |
0.77924067665289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46728l1 93456b1 |
Quadratic twists by: -4 -3 |