Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600bg |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5773680000000 = 210 · 38 · 57 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2376075,-1409737750] |
[a1,a2,a3,a4,a6] |
Generators |
[-19958919702:8319437:22425768] |
Generators of the group modulo torsion |
j |
127191074376964/495 |
j-invariant |
L |
6.8056575474088 |
L(r)(E,1)/r! |
Ω |
0.12160026420914 |
Real period |
R |
13.991864227587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19800bg3 13200g3 7920j3 |
Quadratic twists by: -4 -3 5 |