Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586t |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23647680 |
Modular degree for the optimal curve |
Δ |
-7.8898102051933E+21 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 11- -3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-198543780,1076851908688] |
[a1,a2,a3,a4,a6] |
j |
-670206957616537490521/6109179936768 |
j-invariant |
L |
2.1331038045928 |
L(r)(E,1)/r! |
Ω |
0.11850576609141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26862q1 666g1 |
Quadratic twists by: -3 -11 |