Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630i |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
2811072000 = 29 · 3 · 53 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1939,-32914] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:161:8] |
Generators of the group modulo torsion |
j |
55025549689/192000 |
j-invariant |
L |
2.857369516812 |
L(r)(E,1)/r! |
Ω |
0.71965286832241 |
Real period |
R |
3.9704830517425 |
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 |
29040by2 116160bt2 10890cb2 18150bx2 |
Quadratic twists by: -4 8 -3 5 |