Atkin-Lehner |
3+ 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46725i |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
3650390625 = 3 · 59 · 7 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 2 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4825,-131000] |
[a1,a2,a3,a4,a6] |
j |
6362477477/1869 |
j-invariant |
L |
1.1456478846854 |
L(r)(E,1)/r! |
Ω |
0.57282394233524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46725x1 |
Quadratic twists by: 5 |