Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400u |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19712160000000000 = 214 · 36 · 510 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67633,473137] |
[a1,a2,a3,a4,a6] |
j |
133649126224/77000625 |
j-invariant |
L |
1.312583554226 |
L(r)(E,1)/r! |
Ω |
0.32814588796338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400gv2 7800d2 12480bf2 |
Quadratic twists by: -4 8 5 |