Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472j |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.2865774550163E+20 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2377121,-267159007] |
[a1,a2,a3,a4,a6] |
Generators |
[61185444596893192432:193307127642706765455:38228818618904311] |
Generators of the group modulo torsion |
j |
234770924809/130960928 |
j-invariant |
L |
14.370358437376 |
L(r)(E,1)/r! |
Ω |
0.13050540938489 |
Real period |
R |
27.528281031636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472dk2 4046c2 7616d2 |
Quadratic twists by: -4 8 17 |