Atkin-Lehner |
5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54145k |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
132657438811625 = 53 · 710 · 13 · 172 |
Discriminant |
Eigenvalues |
1 2 5+ 7- -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-478608,127243187] |
[a1,a2,a3,a4,a6] |
Generators |
[1393710:937933:3375] |
Generators of the group modulo torsion |
j |
103056823169347321/1127569625 |
j-invariant |
L |
9.000575343938 |
L(r)(E,1)/r! |
Ω |
0.52954680300377 |
Real period |
R |
8.4983756798012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7735d1 |
Quadratic twists by: -7 |