Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bk |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
7223040 |
Modular degree for the optimal curve |
Δ |
-1.0045848065386E+23 |
Discriminant |
Eigenvalues |
2- 1 2 3 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11882142,21932402372] |
[a1,a2,a3,a4,a6] |
j |
-18396908233/9961472 |
j-invariant |
L |
7.5118756128824 |
L(r)(E,1)/r! |
Ω |
0.098840469973755 |
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 |
87362o1 4598j1 |
Quadratic twists by: -11 -19 |