Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600ec |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-204327301939200 = -1 · 222 · 311 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130035,18061490] |
[a1,a2,a3,a4,a6] |
j |
-3257444411545/2737152 |
j-invariant |
L |
2.2390584024433 |
L(r)(E,1)/r! |
Ω |
0.55976460062158 |
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 |
4950k1 13200bl1 39600fc2 |
Quadratic twists by: -4 -3 5 |