Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305r |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
192541440 |
Modular degree for the optimal curve |
Δ |
-2.8657241993519E+31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -5 -2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7604316936,34523717576887] |
[a1,a2,a3,a4,a6] |
Generators |
[11240477132857:8345092781180310:629422793] |
Generators of the group modulo torsion |
j |
115591090535065591151/68116827392578125 |
j-invariant |
L |
7.1755969306497 |
L(r)(E,1)/r! |
Ω |
0.012763976029903 |
Real period |
R |
21.62214161842 |
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 |
88305e1 |
Quadratic twists by: 29 |