Atkin-Lehner |
2- 3+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
64752i |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-99459072 = -1 · 213 · 32 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 6 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112,-192] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
37595375/24282 |
j-invariant |
L |
5.0051401808892 |
L(r)(E,1)/r! |
Ω |
1.0827427188627 |
Real period |
R |
1.1556623964579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8094e1 |
Quadratic twists by: -4 |