Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4655o |
Isogeny class |
Conductor |
4655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-619115 = -1 · 5 · 73 · 192 |
Discriminant |
Eigenvalues |
0 1 5- 7- -3 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5,39] |
[a1,a2,a3,a4,a6] |
Generators |
[3:9:1] |
Generators of the group modulo torsion |
j |
32768/1805 |
j-invariant |
L |
3.7169361791192 |
L(r)(E,1)/r! |
Ω |
2.1983492482154 |
Real period |
R |
0.42269627791588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480cu1 41895s1 23275h1 4655i1 |
Quadratic twists by: -4 -3 5 -7 |