Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6132f |
Isogeny class |
Conductor |
6132 |
Conductor |
∏ cp |
225 |
Product of Tamagawa factors cp |
deg |
1015200 |
Modular degree for the optimal curve |
Δ |
-4506836950086912 = -1 · 28 · 315 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 6 3 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200206756,-1090417438108] |
[a1,a2,a3,a4,a6] |
j |
-3466729332466825523374801744/17604831836277 |
j-invariant |
L |
4.5152561701664 |
L(r)(E,1)/r! |
Ω |
0.02006780520074 |
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 |
24528i1 98112k1 18396i1 42924c1 |
Quadratic twists by: -4 8 -3 -7 |