Atkin-Lehner |
2+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34112g |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27904 |
Modular degree for the optimal curve |
Δ |
-716079104 = -1 · 215 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3 -1 3 6 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,212,-496] |
[a1,a2,a3,a4,a6] |
j |
32157432/21853 |
j-invariant |
L |
7.283735030864 |
L(r)(E,1)/r! |
Ω |
0.91046687885763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34112h1 17056a1 |
Quadratic twists by: -4 8 |