Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270o |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-39868032000 = -1 · 210 · 3 · 53 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 2 -5 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,189,9633] |
[a1,a2,a3,a4,a6] |
Generators |
[27:174:1] |
Generators of the group modulo torsion |
j |
7189057/384000 |
j-invariant |
L |
8.1135043728287 |
L(r)(E,1)/r! |
Ω |
0.87329478518166 |
Real period |
R |
0.46453411326988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66270t1 |
Quadratic twists by: -47 |