Atkin-Lehner |
3+ 5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495g |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-1442462175 = -1 · 34 · 52 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,189,1608] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-52:1] |
Generators of the group modulo torsion |
j |
746389464911/1442462175 |
j-invariant |
L |
3.0411023712143 |
L(r)(E,1)/r! |
Ω |
1.0443428996989 |
Real period |
R |
0.72799421820433 |
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 |
100485z1 |
Quadratic twists by: -3 |