Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fr |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
936000000000 = 212 · 32 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19833,-1067463] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:8:1] |
Generators of the group modulo torsion |
j |
107850176/117 |
j-invariant |
L |
3.8719242345408 |
L(r)(E,1)/r! |
Ω |
0.40232675528524 |
Real period |
R |
2.4059574611757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400hv1 31200cj1 62400ig1 |
Quadratic twists by: -4 8 5 |