Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75348m |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-22642143922944 = -1 · 28 · 36 · 74 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,-229084] |
[a1,a2,a3,a4,a6] |
Generators |
[68:182:1] |
Generators of the group modulo torsion |
j |
-268435456/121324931 |
j-invariant |
L |
6.8646249656843 |
L(r)(E,1)/r! |
Ω |
0.30397750480484 |
Real period |
R |
0.62729650645437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372f1 |
Quadratic twists by: -3 |