Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600cw |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-304850304000000000 = -1 · 216 · 39 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64125,-25818750] |
[a1,a2,a3,a4,a6] |
j |
185193/1936 |
j-invariant |
L |
1.2091078587216 |
L(r)(E,1)/r! |
Ω |
0.15113848233822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950e1 39600cp1 39600cv1 |
Quadratic twists by: -4 -3 5 |