Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620g |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-80126995200 = -1 · 28 · 3 · 52 · 73 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1661,29961] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:230:1] [-9:210:1] |
Generators of the group modulo torsion |
j |
-5775106048/912525 |
j-invariant |
L |
7.9265131283269 |
L(r)(E,1)/r! |
Ω |
1.0454083028941 |
Real period |
R |
0.21061715276328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620bo1 |
Quadratic twists by: -7 |