Atkin-Lehner |
2- 3+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558bc |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1940793372 = -1 · 22 · 36 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,157,2045] |
[a1,a2,a3,a4,a6] |
Generators |
[23:124:1] |
Generators of the group modulo torsion |
j |
427808855375/1940793372 |
j-invariant |
L |
7.560805674105 |
L(r)(E,1)/r! |
Ω |
1.0588502806896 |
Real period |
R |
1.7851451267456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674n1 |
Quadratic twists by: -3 |