Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34476g |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4464 |
Modular degree for the optimal curve |
Δ |
-137904 = -1 · 24 · 3 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 -1 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69,246] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-1:1] |
Generators of the group modulo torsion |
j |
-13631488/51 |
j-invariant |
L |
4.872431507443 |
L(r)(E,1)/r! |
Ω |
3.2904611178942 |
Real period |
R |
0.49359155985215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103428n1 34476h1 |
Quadratic twists by: -3 13 |