Atkin-Lehner |
3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bn |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-17749669703535 = -1 · 318 · 5 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6403,45204] |
[a1,a2,a3,a4,a6] |
Generators |
[18:398:1] |
Generators of the group modulo torsion |
j |
39829997144951/24347969415 |
j-invariant |
L |
3.8540424533175 |
L(r)(E,1)/r! |
Ω |
0.42567862444654 |
Real period |
R |
4.5269391409629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635a1 |
Quadratic twists by: -3 |