Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75400s |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1631052800 = -1 · 210 · 52 · 133 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112,1852] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-52:1] |
Generators of the group modulo torsion |
j |
6015260/63713 |
j-invariant |
L |
2.0720152581872 |
L(r)(E,1)/r! |
Ω |
1.1033325064657 |
Real period |
R |
0.31299347621612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75400g1 |
Quadratic twists by: 5 |