Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270c |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7232678323509903750 = 2 · 35 · 54 · 478 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5671653,5194940607] |
[a1,a2,a3,a4,a6] |
j |
1871826712886521/670983750 |
j-invariant |
L |
1.8486713189206 |
L(r)(E,1)/r! |
Ω |
0.23108391445356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1410c2 |
Quadratic twists by: -47 |