Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270b |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
593957446524383940 = 22 · 32 · 5 · 539 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43567648,-110704555028] |
[a1,a2,a3,a4,a6] |
Generators |
[-110615101248442:56966017030532:29019350017] |
Generators of the group modulo torsion |
j |
412630052957036641/26797860 |
j-invariant |
L |
3.2043557067682 |
L(r)(E,1)/r! |
Ω |
0.058763617917102 |
Real period |
R |
13.632396295079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590u3 |
Quadratic twists by: 53 |