Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400z |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
249600000000000000 = 220 · 3 · 514 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1352033,605075937] |
[a1,a2,a3,a4,a6] |
Generators |
[691:532:1] [777:4800:1] |
Generators of the group modulo torsion |
j |
66730743078481/60937500 |
j-invariant |
L |
8.8334292652213 |
L(r)(E,1)/r! |
Ω |
0.30987594930144 |
Real period |
R |
7.1265850779574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gy4 1950g4 12480u4 |
Quadratic twists by: -4 8 5 |