Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gc |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5607014400000000 = 220 · 34 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53633,3124863] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:2625:1] |
Generators of the group modulo torsion |
j |
4165509529/1368900 |
j-invariant |
L |
8.1978716371829 |
L(r)(E,1)/r! |
Ω |
0.39448538609076 |
Real period |
R |
2.5976474434217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400b2 15600bf2 12480ce2 |
Quadratic twists by: -4 8 5 |