Atkin-Lehner |
2- 3- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47214o |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-2601530870965567056 = -1 · 24 · 318 · 432 · 613 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,130081,75439127] |
[a1,a2,a3,a4,a6] |
Generators |
[729:23242:1] |
Generators of the group modulo torsion |
j |
333918833453048663/3568629452627664 |
j-invariant |
L |
6.9328993465004 |
L(r)(E,1)/r! |
Ω |
0.18876125301006 |
Real period |
R |
0.76517505975898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738f1 |
Quadratic twists by: -3 |