Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6300w |
Isogeny class |
Conductor |
6300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2391934099086000 = -1 · 24 · 320 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27660,2944825] |
[a1,a2,a3,a4,a6] |
j |
-1605176213504/1640558367 |
j-invariant |
L |
2.5071908938342 |
L(r)(E,1)/r! |
Ω |
0.41786514897236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200ft1 100800hc1 2100q1 6300be1 |
Quadratic twists by: -4 8 -3 5 |