Atkin-Lehner |
2- 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38688d |
Isogeny class |
Conductor |
38688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-31182528 = -1 · 26 · 3 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130,676] |
[a1,a2,a3,a4,a6] |
Generators |
[0:26:1] |
Generators of the group modulo torsion |
j |
-3825694144/487227 |
j-invariant |
L |
3.5522456227377 |
L(r)(E,1)/r! |
Ω |
2.0222382808619 |
Real period |
R |
0.87829551451849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38688f1 77376bl2 116064g1 |
Quadratic twists by: -4 8 -3 |