Atkin-Lehner |
3- 5- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109275q |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
722239453125 = 33 · 58 · 31 · 472 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 5 4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4708,-119006] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-1763:1] |
Generators of the group modulo torsion |
j |
29550530560/1848933 |
j-invariant |
L |
5.0237624430376 |
L(r)(E,1)/r! |
Ω |
0.57860456526684 |
Real period |
R |
0.48236383074629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109275e1 |
Quadratic twists by: 5 |