Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6300y |
Isogeny class |
Conductor |
6300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-31893750000 = -1 · 24 · 36 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1125,-16875] |
[a1,a2,a3,a4,a6] |
j |
-34560/7 |
j-invariant |
L |
2.4463858439909 |
L(r)(E,1)/r! |
Ω |
0.40773097399849 |
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 |
25200fu1 100800hg1 700f1 6300r1 |
Quadratic twists by: -4 8 -3 5 |