Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600l |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
5098317006250000 = 24 · 58 · 138 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -5 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-238008,-44481113] |
[a1,a2,a3,a4,a6] |
Generators |
[-293:125:1] |
Generators of the group modulo torsion |
j |
7311616/25 |
j-invariant |
L |
2.2243055800013 |
L(r)(E,1)/r! |
Ω |
0.21619258986976 |
Real period |
R |
2.5721343890885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800e1 13520i1 67600i1 |
Quadratic twists by: -4 5 13 |