Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124t |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
884520 |
Modular degree for the optimal curve |
Δ |
259502619320688016 = 24 · 76 · 1310 |
Discriminant |
Eigenvalues |
2- -3 2 7- 5 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1399489,-636767495] |
[a1,a2,a3,a4,a6] |
Generators |
[-236936:202145:343] |
Generators of the group modulo torsion |
j |
1168128 |
j-invariant |
L |
3.9197153800429 |
L(r)(E,1)/r! |
Ω |
0.13881279590293 |
Real period |
R |
9.4124737193637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
676e1 33124u1 |
Quadratic twists by: -7 13 |