Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3234l |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-8583708672 = -1 · 216 · 35 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -4 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-271,-4798] |
[a1,a2,a3,a4,a6] |
Generators |
[55:356:1] |
Generators of the group modulo torsion |
j |
-44681709625/175177728 |
j-invariant |
L |
2.9878875392693 |
L(r)(E,1)/r! |
Ω |
0.53760581000662 |
Real period |
R |
0.55577664594667 |
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 |
25872bs1 103488bo1 9702cb1 80850dz1 |
Quadratic twists by: -4 8 -3 5 |