Atkin-Lehner |
5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13775a |
Isogeny class |
Conductor |
13775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-43046875 = -1 · 57 · 19 · 29 |
Discriminant |
Eigenvalues |
0 0 5+ -4 0 -3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-50,-344] |
[a1,a2,a3,a4,a6] |
Generators |
[10:12:1] |
Generators of the group modulo torsion |
j |
-884736/2755 |
j-invariant |
L |
2.3469188433424 |
L(r)(E,1)/r! |
Ω |
0.82846021226888 |
Real period |
R |
0.70821712635871 |
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 |
123975t1 2755b1 |
Quadratic twists by: -3 5 |