Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810ct |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1685376 |
Modular degree for the optimal curve |
Δ |
-3356806669793823120 = -1 · 24 · 3 · 5 · 77 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-98741,88946865] |
[a1,a2,a3,a4,a6] |
Generators |
[-11225844:259595889:29791] |
Generators of the group modulo torsion |
j |
-6268848049/197650320 |
j-invariant |
L |
10.922403019737 |
L(r)(E,1)/r! |
Ω |
0.20952584722384 |
Real period |
R |
13.032285950963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810f1 |
Quadratic twists by: -19 |