Atkin-Lehner |
2+ 3+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710a |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
323136 |
Modular degree for the optimal curve |
Δ |
-66643200000000000 = -1 · 217 · 32 · 511 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 2 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,68932,10311888] |
[a1,a2,a3,a4,a6] |
Generators |
[1654:45445:8] |
Generators of the group modulo torsion |
j |
36222340258061829431/66643200000000000 |
j-invariant |
L |
3.3359226002571 |
L(r)(E,1)/r! |
Ω |
0.23929046551006 |
Real period |
R |
6.9704461336272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130bw1 |
Quadratic twists by: -3 |