Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588i |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
737753891906304 = 28 · 38 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-736671,-243361690] |
[a1,a2,a3,a4,a6] |
Generators |
[-497:18:1] |
Generators of the group modulo torsion |
j |
49081386832/819 |
j-invariant |
L |
4.2846835811202 |
L(r)(E,1)/r! |
Ω |
0.16296021766913 |
Real period |
R |
2.1910682877104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196b2 3276j2 |
Quadratic twists by: -3 13 |