Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990y |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-12266305632000 = -1 · 28 · 37 · 53 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2781,-159467] |
[a1,a2,a3,a4,a6] |
Generators |
[87:814:1] |
Generators of the group modulo torsion |
j |
3262205418191/16826208000 |
j-invariant |
L |
3.9334989040678 |
L(r)(E,1)/r! |
Ω |
0.35818490399794 |
Real period |
R |
1.8302925203158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330p1 |
Quadratic twists by: -3 |