Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28830x |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
182280 |
Modular degree for the optimal curve |
Δ |
-1637550791886720 = -1 · 27 · 3 · 5 · 318 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49031,4589693] |
[a1,a2,a3,a4,a6] |
j |
-15284209/1920 |
j-invariant |
L |
3.2189935501375 |
L(r)(E,1)/r! |
Ω |
0.45985622144824 |
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 |
86490ba1 28830bo1 |
Quadratic twists by: -3 -31 |