Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630v |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
9260303659200000 = 29 · 33 · 55 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-620551,188045705] |
[a1,a2,a3,a4,a6] |
j |
123286270205329/43200000 |
j-invariant |
L |
3.621681594845 |
L(r)(E,1)/r! |
Ω |
0.40240906609389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29040ca1 116160bx1 10890y1 18150e1 |
Quadratic twists by: -4 8 -3 5 |