Atkin-Lehner |
2- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53872c |
Isogeny class |
Conductor |
53872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2971845001216 = 218 · 72 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4339,-72270] |
[a1,a2,a3,a4,a6] |
Generators |
[-3420:5355:64] |
Generators of the group modulo torsion |
j |
2205630275913/725548096 |
j-invariant |
L |
7.2743508074733 |
L(r)(E,1)/r! |
Ω |
0.6037091655696 |
Real period |
R |
6.0247145664395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6734a2 |
Quadratic twists by: -4 |