Atkin-Lehner |
2+ 3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710l |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
7497360 = 24 · 34 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109,-424] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:1] |
Generators of the group modulo torsion |
j |
141339344329/7497360 |
j-invariant |
L |
5.4029143224984 |
L(r)(E,1)/r! |
Ω |
1.4840632513257 |
Real period |
R |
1.820311337024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130cc1 |
Quadratic twists by: -3 |