Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620be |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
482976 |
Modular degree for the optimal curve |
Δ |
66035156250000 = 24 · 3 · 513 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-210506,-37242675] |
[a1,a2,a3,a4,a6] |
Generators |
[-27235191745542998376603:3328187870040959080737:103125881501465326993] |
Generators of the group modulo torsion |
j |
1315840197052976896/84228515625 |
j-invariant |
L |
7.7217302721557 |
L(r)(E,1)/r! |
Ω |
0.22288709869267 |
Real period |
R |
34.644132915036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620j1 |
Quadratic twists by: -7 |