Atkin-Lehner |
2- 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
34760l |
Isogeny class |
Conductor |
34760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-955900000000 = -1 · 28 · 58 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2353,-16814] |
[a1,a2,a3,a4,a6] |
Generators |
[87:920:1] |
Generators of the group modulo torsion |
j |
5627940902064/3733984375 |
j-invariant |
L |
5.3159668151452 |
L(r)(E,1)/r! |
Ω |
0.50178211932945 |
Real period |
R |
2.6485433669142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69520p1 |
Quadratic twists by: -4 |