Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160bq |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-178258658328576000 = -1 · 220 · 37 · 53 · 75 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28000,-20384000] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:43118:1] |
Generators of the group modulo torsion |
j |
-592725168252001/43520180256000 |
j-invariant |
L |
5.5711154308439 |
L(r)(E,1)/r! |
Ω |
0.14135391011569 |
Real period |
R |
6.5687552447865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770bd1 |
Quadratic twists by: -4 |