Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950ce |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
-521320798592000000 = -1 · 213 · 56 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11- 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,199587,5392817] |
[a1,a2,a3,a4,a6] |
Generators |
[142:5979:1] |
Generators of the group modulo torsion |
j |
31764658463/18833408 |
j-invariant |
L |
10.229665507716 |
L(r)(E,1)/r! |
Ω |
0.17873683990092 |
Real period |
R |
1.1006367638215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598f1 10450b1 |
Quadratic twists by: 5 -11 |