Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115r |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-1.6990774571221E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,593142,91734849] |
[a1,a2,a3,a4,a6] |
j |
17869652393984/13156171875 |
j-invariant |
L |
1.1185470694546 |
L(r)(E,1)/r! |
Ω |
0.13981838368841 |
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 |
12705q1 3465g1 |
Quadratic twists by: -3 -11 |