Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920k |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
69685844377600 = 232 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27523,1710978] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:1800:1] |
Generators of the group modulo torsion |
j |
562925697426009/17013145600 |
j-invariant |
L |
5.5487059639421 |
L(r)(E,1)/r! |
Ω |
0.61370951840556 |
Real period |
R |
4.5206288948838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490c1 |
Quadratic twists by: -4 |