Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586v |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
285600 |
Modular degree for the optimal curve |
Δ |
-41285648032992 = -1 · 25 · 39 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 11- 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27974,1834165] |
[a1,a2,a3,a4,a6] |
j |
-69426531/1184 |
j-invariant |
L |
6.4514391127494 |
L(r)(E,1)/r! |
Ω |
0.64514391425901 |
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 |
80586b1 666a1 |
Quadratic twists by: -3 -11 |