Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3381h |
Isogeny class |
Conductor |
3381 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-56824467 = -1 · 3 · 77 · 23 |
Discriminant |
Eigenvalues |
2 3+ 0 7- 1 -2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,82,-253] |
[a1,a2,a3,a4,a6] |
Generators |
[26:45:8] |
Generators of the group modulo torsion |
j |
512000/483 |
j-invariant |
L |
5.5807445942433 |
L(r)(E,1)/r! |
Ω |
1.08405255181 |
Real period |
R |
1.2870096991436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096ck1 10143p1 84525cd1 483b1 |
Quadratic twists by: -4 -3 5 -7 |