Atkin-Lehner |
2- 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692g |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
125568 |
Modular degree for the optimal curve |
Δ |
487193616 = 24 · 39 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -4 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116073,15221061] |
[a1,a2,a3,a4,a6] |
Generators |
[196:17:1] |
Generators of the group modulo torsion |
j |
549169064517888/1547 |
j-invariant |
L |
4.6513814046942 |
L(r)(E,1)/r! |
Ω |
1.0948198663179 |
Real period |
R |
2.1242679036853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55692h1 |
Quadratic twists by: -3 |