Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600h |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
861615574056250000 = 24 · 58 · 1310 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-238008,-1639613] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:29875:8] |
Generators of the group modulo torsion |
j |
43264/25 |
j-invariant |
L |
4.9276411058876 |
L(r)(E,1)/r! |
Ω |
0.23624297880478 |
Real period |
R |
5.2145900073981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800q1 13520k1 67600k1 |
Quadratic twists by: -4 5 13 |