Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ep |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
99840000000000 = 218 · 3 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208000033,1154700351937] |
[a1,a2,a3,a4,a6] |
Generators |
[64324557:-1163221136:6859] |
Generators of the group modulo torsion |
j |
242970740812818720001/24375 |
j-invariant |
L |
5.9302480811757 |
L(r)(E,1)/r! |
Ω |
0.23307825502098 |
Real period |
R |
12.721581601203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cs8 15600bz7 12480cj7 |
Quadratic twists by: -4 8 5 |