Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450be |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3898368 |
Modular degree for the optimal curve |
Δ |
7441027081800312500 = 22 · 57 · 478 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -3 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1243713,516959531] |
[a1,a2,a3,a4,a6] |
Generators |
[343138431645:-116553325078:625026375] |
Generators of the group modulo torsion |
j |
571849/20 |
j-invariant |
L |
18.221954618545 |
L(r)(E,1)/r! |
Ω |
0.23336141961552 |
Real period |
R |
19.521173046263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22090f1 110450bd1 |
Quadratic twists by: 5 -47 |