Atkin-Lehner |
3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33759b |
Isogeny class |
Conductor |
33759 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-812140263 = -1 · 39 · 113 · 31 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,93,1304] |
[a1,a2,a3,a4,a6] |
Generators |
[56:396:1] |
Generators of the group modulo torsion |
j |
3375/31 |
j-invariant |
L |
4.840253687991 |
L(r)(E,1)/r! |
Ω |
1.1648028256399 |
Real period |
R |
4.1554274950626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33759d1 33759c1 |
Quadratic twists by: -3 -11 |