Atkin-Lehner |
3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43575q |
Isogeny class |
Conductor |
43575 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
18916316015625 = 35 · 58 · 74 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8463,-215208] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:294:1] |
Generators of the group modulo torsion |
j |
4290223486249/1210644225 |
j-invariant |
L |
5.3888151021511 |
L(r)(E,1)/r! |
Ω |
0.50840903844318 |
Real period |
R |
0.52996845990892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715a1 |
Quadratic twists by: 5 |