Atkin-Lehner |
2+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
27650b |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-28993126400000000 = -1 · 227 · 58 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6400,8192000] |
[a1,a2,a3,a4,a6] |
j |
-1855878893569/1855560089600 |
j-invariant |
L |
1.2042138863389 |
L(r)(E,1)/r! |
Ω |
0.30105347158466 |
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 |
5530j1 |
Quadratic twists by: 5 |