Atkin-Lehner |
13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3211a |
Isogeny class |
Conductor |
3211 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-91709371 = -1 · 136 · 19 |
Discriminant |
Eigenvalues |
0 -2 -3 1 -3 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,113,17] |
[a1,a2,a3,a4,a6] |
Generators |
[17:84:1] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
1.3665254793772 |
L(r)(E,1)/r! |
Ω |
1.1313884864777 |
Real period |
R |
0.60391523146553 |
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 |
51376x1 28899c1 80275a1 19a3 |
Quadratic twists by: -4 -3 5 13 |