Atkin-Lehner |
3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825u |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
6727157325 = 311 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -1 6 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1515,22351] |
[a1,a2,a3,a4,a6] |
j |
21100564480/369117 |
j-invariant |
L |
5.3355109789191 |
L(r)(E,1)/r! |
Ω |
1.3338777448063 |
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 |
16275d1 48825bv1 |
Quadratic twists by: -3 5 |