Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400cs |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
113542041600000000 = 218 · 38 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184033,25640063] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:7488:1] |
Generators of the group modulo torsion |
j |
168288035761/27720225 |
j-invariant |
L |
7.0231348377261 |
L(r)(E,1)/r! |
Ω |
0.31803410180905 |
Real period |
R |
1.3801850961329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995217 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400ep2 975a2 12480a2 |
Quadratic twists by: -4 8 5 |