Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cu |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1679237118720 = -1 · 28 · 33 · 5 · 77 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2021,70815] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:294:1] |
Generators of the group modulo torsion |
j |
-3567775842304/6559519995 |
j-invariant |
L |
6.0657413485132 |
L(r)(E,1)/r! |
Ω |
0.75087345615611 |
Real period |
R |
0.19233921729484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780b1 |
Quadratic twists by: -4 |