Atkin-Lehner |
3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
86031k |
Isogeny class |
Conductor |
86031 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-88660567539819 = -1 · 36 · 117 · 792 |
Discriminant |
Eigenvalues |
-2 3- -1 2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,10527,-180018] |
[a1,a2,a3,a4,a6] |
j |
99897344/68651 |
j-invariant |
L |
1.3682834897902 |
L(r)(E,1)/r! |
Ω |
0.34207086936861 |
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 |
9559e1 7821d1 |
Quadratic twists by: -3 -11 |