Atkin-Lehner |
2- 3- 13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34086g |
Isogeny class |
Conductor |
34086 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12160 |
Modular degree for the optimal curve |
Δ |
-22087728 = -1 · 24 · 35 · 13 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -4 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-339,2385] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-15:1] |
Generators of the group modulo torsion |
j |
-4309261738417/22087728 |
j-invariant |
L |
8.8101799885721 |
L(r)(E,1)/r! |
Ω |
2.1570364860781 |
Real period |
R |
0.20421954022183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102258g1 |
Quadratic twists by: -3 |