Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4655l |
Isogeny class |
Conductor |
4655 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-108345125 = -1 · 53 · 74 · 192 |
Discriminant |
Eigenvalues |
-1 -1 5- 7+ 4 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-540] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-357:1] |
Generators of the group modulo torsion |
j |
-5764801/45125 |
j-invariant |
L |
2.0873021150937 |
L(r)(E,1)/r! |
Ω |
0.79176571120346 |
Real period |
R |
0.14645901808511 |
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 |
74480bz1 41895n1 23275d1 4655e1 |
Quadratic twists by: -4 -3 5 -7 |