Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990g |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
306514992000 = 27 · 3 · 53 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12544007,-17105481099] |
[a1,a2,a3,a4,a6] |
j |
218289391029690300712901881/306514992000 |
j-invariant |
L |
0.96265733499266 |
L(r)(E,1)/r! |
Ω |
0.080221444582722 |
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 |
31920cb4 127680cg4 11970br4 19950cw3 |
Quadratic twists by: -4 8 -3 5 |