Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400z |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
947585433600000000 = 220 · 34 · 58 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-904033,-327212063] |
[a1,a2,a3,a4,a6] |
Generators |
[-584:1107:1] [-567:1664:1] |
Generators of the group modulo torsion |
j |
19948814692561/231344100 |
j-invariant |
L |
8.8334292652213 |
L(r)(E,1)/r! |
Ω |
0.15493797465072 |
Real period |
R |
7.1265850779574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400gy3 1950g3 12480u3 |
Quadratic twists by: -4 8 5 |