Atkin-Lehner |
3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bn |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13261640063450625 = 39 · 54 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-253607,-48780786] |
[a1,a2,a3,a4,a6] |
Generators |
[1097:30951:1] |
Generators of the group modulo torsion |
j |
2474447753486836009/18191550155625 |
j-invariant |
L |
3.8540424533175 |
L(r)(E,1)/r! |
Ω |
0.21283931222327 |
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 |
19635a4 |
Quadratic twists by: -3 |