Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600du |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1551610449100800 = -1 · 217 · 316 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83235,9435170] |
[a1,a2,a3,a4,a6] |
j |
-854307420745/20785248 |
j-invariant |
L |
1.9014587641935 |
L(r)(E,1)/r! |
Ω |
0.47536469104926 |
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 |
4950i1 13200bj1 39600ey2 |
Quadratic twists by: -4 -3 5 |