Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120224j |
Isogeny class |
Conductor |
120224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
1282646472191552 = 26 · 132 · 179 |
Discriminant |
Eigenvalues |
2- -2 -4 0 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1891890,1000962664] |
[a1,a2,a3,a4,a6] |
Generators |
[6650:-14739:8] |
Generators of the group modulo torsion |
j |
484772621703616/830297 |
j-invariant |
L |
2.6063340043106 |
L(r)(E,1)/r! |
Ω |
0.41354993827229 |
Real period |
R |
1.5755860300883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999323486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120224c1 7072h1 |
Quadratic twists by: -4 17 |