Atkin-Lehner |
2+ 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330v |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
458640 |
Modular degree for the optimal curve |
Δ |
-650100330000000 = -1 · 27 · 36 · 57 · 113 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98289,11948445] |
[a1,a2,a3,a4,a6] |
j |
-144050051827661329/891770000000 |
j-invariant |
L |
3.6025092670583 |
L(r)(E,1)/r! |
Ω |
0.51464418141497 |
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 |
7370e1 |
Quadratic twists by: -3 |