Atkin-Lehner |
2- 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040p |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2941493106436689920 = 212 · 5 · 172 · 896 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-358296,2187220] |
[a1,a2,a3,a4,a6] |
Generators |
[1079:29546:1] |
Generators of the group modulo torsion |
j |
1241912091608857369/718137965438645 |
j-invariant |
L |
4.9731321839175 |
L(r)(E,1)/r! |
Ω |
0.2151460461083 |
Real period |
R |
5.7787863795129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7565a2 |
Quadratic twists by: -4 |