Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13760o |
Isogeny class |
Conductor |
13760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-70451200000 = -1 · 219 · 55 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 0 3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1012,3088] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] |
Generators of the group modulo torsion |
j |
437245479/268750 |
j-invariant |
L |
4.6951260922096 |
L(r)(E,1)/r! |
Ω |
0.67585093418358 |
Real period |
R |
3.4734923447885 |
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 |
13760a1 3440e1 123840gl1 68800cv1 |
Quadratic twists by: -4 8 -3 5 |