Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350cu |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
9.5739112757531E+18 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2175013,-1225814983] |
[a1,a2,a3,a4,a6] |
j |
505318200625/4251528 |
j-invariant |
L |
4.4777207448244 |
L(r)(E,1)/r! |
Ω |
0.12438113180068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58800gr1 22050ce1 7350c1 7350cg1 |
Quadratic twists by: -4 -3 5 -7 |