Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800bh |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2478600000000 = 29 · 36 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3408,-10188] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:154:1] [-28:250:1] |
Generators of the group modulo torsion |
j |
547343432/309825 |
j-invariant |
L |
7.2023933341806 |
L(r)(E,1)/r! |
Ω |
0.67389788236186 |
Real period |
R |
2.6719157021755 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800bp2 81600ia2 122400bk2 8160d2 |
Quadratic twists by: -4 8 -3 5 |