Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115x |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-657815667349995 = -1 · 39 · 5 · 73 · 117 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1452,-1234170] |
[a1,a2,a3,a4,a6] |
j |
-262144/509355 |
j-invariant |
L |
1.8517417760526 |
L(r)(E,1)/r! |
Ω |
0.23146772200063 |
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 |
12705i1 3465s1 |
Quadratic twists by: -3 -11 |