Atkin-Lehner |
2+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
105280d |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
10565058560000 = 220 · 54 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22561,-1302465] |
[a1,a2,a3,a4,a6] |
Generators |
[419:7936:1] |
Generators of the group modulo torsion |
j |
4844824797961/40302500 |
j-invariant |
L |
2.962333954494 |
L(r)(E,1)/r! |
Ω |
0.3897411657733 |
Real period |
R |
3.8003862715407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280y1 3290d1 |
Quadratic twists by: -4 8 |