Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072x |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
316609855488 = 216 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,6896] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:47:1] |
Generators of the group modulo torsion |
j |
12194500/6627 |
j-invariant |
L |
3.7282172319862 |
L(r)(E,1)/r! |
Ω |
0.84254283428908 |
Real period |
R |
2.2124793424491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27072bx2 3384d2 9024b2 |
Quadratic twists by: -4 8 -3 |