Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152cf |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-39483260404224 = -1 · 29 · 3 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5504,338904] |
[a1,a2,a3,a4,a6] |
Generators |
[90:762:1] |
Generators of the group modulo torsion |
j |
-306182024/655473 |
j-invariant |
L |
9.5702074124866 |
L(r)(E,1)/r! |
Ω |
0.57442383050117 |
Real period |
R |
4.1651333493751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152n1 122304bi1 8736t1 |
Quadratic twists by: -4 8 -7 |