Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200p |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
13502538000000000 = 210 · 39 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-394875,-95343750] |
[a1,a2,a3,a4,a6] |
j |
172974204/343 |
j-invariant |
L |
0.76189719106366 |
L(r)(E,1)/r! |
Ω |
0.19047429776596 |
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 |
12600j1 100800kh1 25200o1 25200r1 |
Quadratic twists by: -4 8 -3 5 |