Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6300f |
Isogeny class |
Conductor |
6300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
7750181250000 = 24 · 311 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127200,-17460875] |
[a1,a2,a3,a4,a6] |
Generators |
[2735:141750:1] |
Generators of the group modulo torsion |
j |
1248870793216/42525 |
j-invariant |
L |
3.9489115747395 |
L(r)(E,1)/r! |
Ω |
0.25280092817444 |
Real period |
R |
3.905159291993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200ek1 100800dl1 2100k1 1260f1 |
Quadratic twists by: -4 8 -3 5 |