Atkin-Lehner |
2- 3+ 13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34086f |
Isogeny class |
Conductor |
34086 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-202061808 = -1 · 24 · 32 · 132 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,121,-403] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] [9:34:1] |
Generators of the group modulo torsion |
j |
195819292943/202061808 |
j-invariant |
L |
8.7671606556857 |
L(r)(E,1)/r! |
Ω |
0.96820819598631 |
Real period |
R |
1.1318795755951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102258h1 |
Quadratic twists by: -3 |