Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13760r |
Isogeny class |
Conductor |
13760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-68800 = -1 · 26 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -5 -1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-155,797] |
[a1,a2,a3,a4,a6] |
Generators |
[4:15:1] |
Generators of the group modulo torsion |
j |
-6476460544/1075 |
j-invariant |
L |
7.230709877351 |
L(r)(E,1)/r! |
Ω |
3.3600325333483 |
Real period |
R |
1.0759880753514 |
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 |
13760u1 6880i1 123840ep1 68800ds1 |
Quadratic twists by: -4 8 -3 5 |