Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360ba |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8310600000000 = -1 · 29 · 37 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3597,111098] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:146:1] [118:1476:1] |
Generators of the group modulo torsion |
j |
13789468792/22265625 |
j-invariant |
L |
6.9831642550221 |
L(r)(E,1)/r! |
Ω |
0.50225480239786 |
Real period |
R |
13.903628639654 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360i2 54720bz3 9120e4 |
Quadratic twists by: -4 8 -3 |