Atkin-Lehner |
2- 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39192g |
Isogeny class |
Conductor |
39192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.7985095456346E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-793064,1453050684] |
[a1,a2,a3,a4,a6] |
Generators |
[96253567363994:8196232279994640:236831981203] |
Generators of the group modulo torsion |
j |
-53870252547969208228/859229447815880199 |
j-invariant |
L |
4.320556046505 |
L(r)(E,1)/r! |
Ω |
0.13332236864355 |
Real period |
R |
16.203417665252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384i3 117576f3 |
Quadratic twists by: -4 -3 |