Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124g |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-598829449464064 = -1 · 28 · 712 · 132 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114023,-14866306] |
[a1,a2,a3,a4,a6] |
Generators |
[3122:2107:8] |
Generators of the group modulo torsion |
j |
-32209663824/117649 |
j-invariant |
L |
4.5294629462666 |
L(r)(E,1)/r! |
Ω |
0.12987527622899 |
Real period |
R |
5.8125804461308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4732d1 33124f1 |
Quadratic twists by: -7 13 |