Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400cs |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2433600000000000000 = 218 · 32 · 514 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13000033,-18045351937] |
[a1,a2,a3,a4,a6] |
Generators |
[-2078:237:1] |
Generators of the group modulo torsion |
j |
59319456301170001/594140625 |
j-invariant |
L |
7.0231348377261 |
L(r)(E,1)/r! |
Ω |
0.079508525452263 |
Real period |
R |
5.5207403845317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998087 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400ep6 975a5 12480a5 |
Quadratic twists by: -4 8 5 |