Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
13944i |
Isogeny class |
Conductor |
13944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-8965685232 = -1 · 24 · 39 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148,-4559] |
[a1,a2,a3,a4,a6] |
Generators |
[20:9:1] |
Generators of the group modulo torsion |
j |
-22559008000/560355327 |
j-invariant |
L |
3.5057857302712 |
L(r)(E,1)/r! |
Ω |
0.56344768940268 |
Real period |
R |
3.1110126070334 |
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 |
27888j1 111552bb1 41832g1 97608v1 |
Quadratic twists by: -4 8 -3 -7 |