Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650dm |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
552 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-19035232351027200 = -1 · 223 · 37 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13135,6609377] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-2804:1] |
Generators of the group modulo torsion |
j |
13752365416655/1044457193472 |
j-invariant |
L |
9.4994251507104 |
L(r)(E,1)/r! |
Ω |
0.29516111598919 |
Real period |
R |
0.058304101054166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550x1 34650bs1 |
Quadratic twists by: -3 5 |