Atkin-Lehner |
3+ 5+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
86025b |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-5832236925 = -1 · 38 · 52 · 312 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 -4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,450,405] |
[a1,a2,a3,a4,a6] |
j |
401709779375/233289477 |
j-invariant |
L |
3.2457608245227 |
L(r)(E,1)/r! |
Ω |
0.8114401928834 |
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 |
86025n1 |
Quadratic twists by: 5 |