Atkin-Lehner |
2+ 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850b |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
501120 |
Modular degree for the optimal curve |
Δ |
-2569259199531250 = -1 · 2 · 57 · 23 · 595 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 3 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71625,-7800625] |
[a1,a2,a3,a4,a6] |
Generators |
[78563600:10840588625:4096] |
Generators of the group modulo torsion |
j |
-2600800650671761/164432588770 |
j-invariant |
L |
7.7944272152381 |
L(r)(E,1)/r! |
Ω |
0.14538425449829 |
Real period |
R |
13.403148851601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13570e1 |
Quadratic twists by: 5 |