Atkin-Lehner |
2+ 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768bo |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-29346624 = -1 · 26 · 36 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 -5 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3316,-74614] |
[a1,a2,a3,a4,a6] |
j |
-63025785430336/458541 |
j-invariant |
L |
1.8873649618736 |
L(r)(E,1)/r! |
Ω |
0.31456096277538 |
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 |
120768q1 60384g1 |
Quadratic twists by: -4 8 |