Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400bf |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4313088000000 = 218 · 34 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111233,-14241663] |
[a1,a2,a3,a4,a6] |
j |
37159393753/1053 |
j-invariant |
L |
2.0913732081421 |
L(r)(E,1)/r! |
Ω |
0.26142165221171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ho4 975g3 2496k3 |
Quadratic twists by: -4 8 5 |