Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3381m |
Isogeny class |
Conductor |
3381 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-23667 = -1 · 3 · 73 · 23 |
Discriminant |
Eigenvalues |
0 3- 0 7- 5 4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23,-52] |
[a1,a2,a3,a4,a6] |
j |
-4096000/69 |
j-invariant |
L |
2.1700563219774 |
L(r)(E,1)/r! |
Ω |
1.0850281609887 |
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 |
54096bg1 10143l1 84525l1 3381e1 |
Quadratic twists by: -4 -3 5 -7 |