Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115j |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
1006860715331625 = 310 · 53 · 7 · 117 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17688105,-28628790800] |
[a1,a2,a3,a4,a6] |
Generators |
[-808897901903140652499468:402358156379434585579670:333166097351635323677] |
Generators of the group modulo torsion |
j |
473897054735271721/779625 |
j-invariant |
L |
5.1531958339661 |
L(r)(E,1)/r! |
Ω |
0.073617188379983 |
Real period |
R |
34.999950061706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705e1 3465k1 |
Quadratic twists by: -3 -11 |