Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7632m |
Isogeny class |
Conductor |
7632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2655114422648832 = -1 · 236 · 36 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40755,-4021774] |
[a1,a2,a3,a4,a6] |
j |
-2507141976625/889192448 |
j-invariant |
L |
2.9711569007593 |
L(r)(E,1)/r! |
Ω |
0.1650642722644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
954e1 30528bk1 848b1 |
Quadratic twists by: -4 8 -3 |