Atkin-Lehner |
2+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42224d |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
72357946451737856 = 28 · 74 · 136 · 293 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165959,-22576010] |
[a1,a2,a3,a4,a6] |
Generators |
[517:5460:1] |
Generators of the group modulo torsion |
j |
1974632017997842128/282648228327101 |
j-invariant |
L |
6.658484346289 |
L(r)(E,1)/r! |
Ω |
0.23879338575624 |
Real period |
R |
2.3236560500486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21112c2 |
Quadratic twists by: -4 |