Atkin-Lehner |
2- 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550dg |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-365211504000000 = -1 · 210 · 38 · 56 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19788,1410192] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:690:1] [552:12324:1] |
Generators of the group modulo torsion |
j |
-54841681585657/23373536256 |
j-invariant |
L |
16.808418735619 |
L(r)(E,1)/r! |
Ω |
0.50305078165339 |
Real period |
R |
0.20883103839536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2982b1 |
Quadratic twists by: 5 |