Atkin-Lehner |
2+ 3- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34038d |
Isogeny class |
Conductor |
34038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-700165472256 = -1 · 214 · 36 · 312 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -3 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1341,-35883] |
[a1,a2,a3,a4,a6] |
Generators |
[27:126:1] |
Generators of the group modulo torsion |
j |
365679263951/960446464 |
j-invariant |
L |
4.5101214401246 |
L(r)(E,1)/r! |
Ω |
0.46596726829652 |
Real period |
R |
1.209881505361 |
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 |
3782c1 |
Quadratic twists by: -3 |