Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28830bs |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
446400 |
Modular degree for the optimal curve |
Δ |
-259065652622703750 = -1 · 2 · 35 · 54 · 318 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-615060,187219350] |
[a1,a2,a3,a4,a6] |
j |
-30170510401/303750 |
j-invariant |
L |
6.2441203281151 |
L(r)(E,1)/r! |
Ω |
0.31220601640577 |
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 |
86490o1 28830be1 |
Quadratic twists by: -3 -31 |