Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cs |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-8809891786800 = -1 · 24 · 33 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2028,138411] |
[a1,a2,a3,a4,a6] |
Generators |
[585:14196:1] |
Generators of the group modulo torsion |
j |
442368/4225 |
j-invariant |
L |
7.1314000530462 |
L(r)(E,1)/r! |
Ω |
0.53758396035998 |
Real period |
R |
3.3164122291907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999602152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30420c1 121680cf1 9360z1 |
Quadratic twists by: -4 -3 13 |