Atkin-Lehner |
2- 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4674f |
Isogeny class |
Conductor |
4674 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
9348 = 22 · 3 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48,-132] |
[a1,a2,a3,a4,a6] |
Generators |
[6664:16435:512] |
Generators of the group modulo torsion |
j |
12246522625/9348 |
j-invariant |
L |
6.3460134292224 |
L(r)(E,1)/r! |
Ω |
1.8136857112544 |
Real period |
R |
6.9979196393773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37392k1 14022a1 116850c1 88806e1 |
Quadratic twists by: -4 -3 5 -19 |