Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150bf |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
348880000 = 27 · 54 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-413,2931] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:72:1] |
Generators of the group modulo torsion |
j |
12466931425/558208 |
j-invariant |
L |
6.9732257877323 |
L(r)(E,1)/r! |
Ω |
1.6867048675105 |
Real period |
R |
0.098434046536695 |
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 |
31150a1 |
Quadratic twists by: 5 |