Atkin-Lehner |
7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34307h |
Isogeny class |
Conductor |
34307 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
97445019581 = 76 · 134 · 29 |
Discriminant |
Eigenvalues |
0 -2 3 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1239,-7926] |
[a1,a2,a3,a4,a6] |
j |
7370801152/3411821 |
j-invariant |
L |
1.6823534780717 |
L(r)(E,1)/r! |
Ω |
0.84117673903644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34307a1 |
Quadratic twists by: 13 |