Atkin-Lehner |
7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34307a |
Isogeny class |
Conductor |
34307 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
164749307127557789 = 72 · 1310 · 293 |
Discriminant |
Eigenvalues |
0 -2 -3 7+ 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14204337,-20610055800] |
[a1,a2,a3,a4,a6] |
Generators |
[-10692490:469130:4913] |
Generators of the group modulo torsion |
j |
2299074910093312/1195061 |
j-invariant |
L |
1.4805578374084 |
L(r)(E,1)/r! |
Ω |
0.077766817033935 |
Real period |
R |
9.5192132960897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34307h2 |
Quadratic twists by: 13 |