Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630y |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
1785 |
Product of Tamagawa factors cp |
deg |
57120 |
Modular degree for the optimal curve |
Δ |
36431493120000000 = 217 · 35 · 57 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-141875,18393057] |
[a1,a2,a3,a4,a6] |
Generators |
[-386:4153:1] |
Generators of the group modulo torsion |
j |
21571025211960961/2488320000000 |
j-invariant |
L |
5.71154268292 |
L(r)(E,1)/r! |
Ω |
0.35400557724617 |
Real period |
R |
0.0090386818898339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29040cq1 116160z1 10890p1 18150l1 |
Quadratic twists by: -4 8 -3 5 |