Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400y |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
70745425920000000 = 217 · 312 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-301633,-62364863] |
[a1,a2,a3,a4,a6] |
j |
1481943889298/34543665 |
j-invariant |
L |
1.6320605617913 |
L(r)(E,1)/r! |
Ω |
0.20400757055045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gx3 7800t3 12480bg3 |
Quadratic twists by: -4 8 5 |