Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072bp |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
5901259776 = 210 · 3 · 174 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-477,-1725] |
[a1,a2,a3,a4,a6] |
Generators |
[-1750:8415:343] |
Generators of the group modulo torsion |
j |
11745974272/5762949 |
j-invariant |
L |
10.389597990178 |
L(r)(E,1)/r! |
Ω |
1.0736282220276 |
Real period |
R |
4.838545493155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75072cj1 9384a1 |
Quadratic twists by: -4 8 |