Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825bp |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-293329061279296875 = -1 · 36 · 513 · 73 · 312 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 1 -3 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7490325,-7890444594] |
[a1,a2,a3,a4,a6] |
j |
-4080168919667961856/25751796875 |
j-invariant |
L |
1.0951042653464 |
L(r)(E,1)/r! |
Ω |
0.045629344420449 |
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 |
5425h1 9765g1 |
Quadratic twists by: -3 5 |