Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1392m |
Isogeny class |
Conductor |
1392 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-6414336 = -1 · 213 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -6 -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,276] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-24:1] |
Generators of the group modulo torsion |
j |
-13997521/1566 |
j-invariant |
L |
3.0920443775125 |
L(r)(E,1)/r! |
Ω |
2.3143013914691 |
Real period |
R |
0.11133829229958 |
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 |
174c1 5568v1 4176bb1 34800bs1 |
Quadratic twists by: -4 8 -3 5 |