Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ey |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15575040000000 = 217 · 32 · 57 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20033,-1068063] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:75:1] |
Generators of the group modulo torsion |
j |
434163602/7605 |
j-invariant |
L |
5.1548256832382 |
L(r)(E,1)/r! |
Ω |
0.40171942732176 |
Real period |
R |
1.6039881732699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cw2 15600o2 12480ck2 |
Quadratic twists by: -4 8 5 |