Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200be |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
95681250000 = 24 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39450,3015875] |
[a1,a2,a3,a4,a6] |
j |
37256083456/525 |
j-invariant |
L |
1.9493095374595 |
L(r)(E,1)/r! |
Ω |
0.97465476872976 |
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 |
12600cb1 100800lw1 8400c1 5040m1 |
Quadratic twists by: -4 8 -3 5 |