Atkin-Lehner |
2- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
31150ba |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
3052700000000 = 28 · 58 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7763,-252719] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:138:1] |
Generators of the group modulo torsion |
j |
132451210705/7814912 |
j-invariant |
L |
11.998806363188 |
L(r)(E,1)/r! |
Ω |
0.51049348459241 |
Real period |
R |
2.9380410145606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31150f1 |
Quadratic twists by: 5 |