Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610r |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2718720 |
Modular degree for the optimal curve |
Δ |
114723408314368000 = 232 · 53 · 74 · 89 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 5 1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5663748,-5186606169] |
[a1,a2,a3,a4,a6] |
Generators |
[-37113:22639:27] |
Generators of the group modulo torsion |
j |
8368415701602999566769/47781511168000 |
j-invariant |
L |
5.6752358316175 |
L(r)(E,1)/r! |
Ω |
0.097864172671341 |
Real period |
R |
1.8122170238306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43610bd1 |
Quadratic twists by: -7 |