Atkin-Lehner |
2- 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
74022p |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-37529154 = -1 · 2 · 32 · 134 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 -6 13+ 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,81,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[14:67:8] |
Generators of the group modulo torsion |
j |
2056223/1314 |
j-invariant |
L |
9.972805826469 |
L(r)(E,1)/r! |
Ω |
1.1768192903661 |
Real period |
R |
1.412395529258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74022d1 |
Quadratic twists by: 13 |