Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402h |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-5371442567261056 = -1 · 27 · 119 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 0 -3 -3 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-205541,36091413] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2149:1] |
Generators of the group modulo torsion |
j |
-542080999521153/3032039296 |
j-invariant |
L |
2.2071031085119 |
L(r)(E,1)/r! |
Ω |
0.43158491682243 |
Real period |
R |
1.2784871899857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998111453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582l1 |
Quadratic twists by: -11 |