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 |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
470348497518747029 = 76 · 1310 · 29 |
Discriminant |
Eigenvalues |
0 -2 -3 7+ 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-209447,-16575165] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:1886:1] |
Generators of the group modulo torsion |
j |
7370801152/3411821 |
j-invariant |
L |
1.4805578374084 |
L(r)(E,1)/r! |
Ω |
0.2333004511018 |
Real period |
R |
3.1730710986966 |
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 |
34307h1 |
Quadratic twists by: 13 |