Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296ck |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-82162999296 = -1 · 213 · 34 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -4 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1792,32896] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1512:1] [-24:248:1] |
Generators of the group modulo torsion |
j |
-430638553/55566 |
j-invariant |
L |
7.9060253515504 |
L(r)(E,1)/r! |
Ω |
1.0486446415442 |
Real period |
R |
0.31413665778769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162be1 121296cz1 |
Quadratic twists by: -4 -19 |