Atkin-Lehner |
2+ 3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558p |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-101481066409968 = -1 · 24 · 34 · 78 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3643,491702] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1976:1] |
Generators of the group modulo torsion |
j |
-5344780143505321/101481066409968 |
j-invariant |
L |
3.2012142050004 |
L(r)(E,1)/r! |
Ω |
0.50308371811609 |
Real period |
R |
0.19884949622474 |
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 |
100674bn2 |
Quadratic twists by: -3 |