Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31450n |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
23831552000000 = 216 · 56 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9988,-308219] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:257:1] |
Generators of the group modulo torsion |
j |
7052482298233/1525219328 |
j-invariant |
L |
11.423319909422 |
L(r)(E,1)/r! |
Ω |
0.48489614092537 |
Real period |
R |
1.4723926096346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1258b1 |
Quadratic twists by: 5 |