Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200p |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
332150625000000 = 26 · 312 · 510 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50925,4335500] |
[a1,a2,a3,a4,a6] |
j |
20034997696/455625 |
j-invariant |
L |
1.0813133756862 |
L(r)(E,1)/r! |
Ω |
0.5406566878431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7200bo1 14400bu2 2400v1 1440n1 |
Quadratic twists by: -4 8 -3 5 |