Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330bc |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-32916493880524800 = -1 · 224 · 36 · 52 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1350540,604501456] |
[a1,a2,a3,a4,a6] |
Generators |
[888:9796:1] |
Generators of the group modulo torsion |
j |
-7626453723007966609/921488588800 |
j-invariant |
L |
3.5769427021653 |
L(r)(E,1)/r! |
Ω |
0.35504046449596 |
Real period |
R |
1.2593433213838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370w1 57330cb1 |
Quadratic twists by: -3 -7 |