Atkin-Lehner |
2+ 3- 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710n |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-31239000000 = -1 · 26 · 33 · 56 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,317,-8194] |
[a1,a2,a3,a4,a6] |
Generators |
[40:242:1] |
Generators of the group modulo torsion |
j |
3538909096919/31239000000 |
j-invariant |
L |
5.8508597705887 |
L(r)(E,1)/r! |
Ω |
0.58029936845353 |
Real period |
R |
1.1202761288504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130bm1 |
Quadratic twists by: -3 |