Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28830bt |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-34632037500000 = -1 · 25 · 3 · 58 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -1 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14435,-726303] |
[a1,a2,a3,a4,a6] |
j |
-360187951921/37500000 |
j-invariant |
L |
8.660145633576 |
L(r)(E,1)/r! |
Ω |
0.21650364083941 |
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 |
86490p1 28830bg1 |
Quadratic twists by: -3 -31 |