Atkin-Lehner |
2- 3- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
19422y |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-33426971136 = -1 · 29 · 36 · 13 · 832 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347,9227] |
[a1,a2,a3,a4,a6] |
Generators |
[31:150:1] |
Generators of the group modulo torsion |
j |
-6321363049/45853184 |
j-invariant |
L |
9.0031134579839 |
L(r)(E,1)/r! |
Ω |
1.0015378767659 |
Real period |
R |
0.49940494662379 |
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 |
2158a1 |
Quadratic twists by: -3 |