Atkin-Lehner |
2- 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370w |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
5863221428480 = 28 · 5 · 137 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15805,754545] |
[a1,a2,a3,a4,a6] |
Generators |
[62:87:1] |
Generators of the group modulo torsion |
j |
90458382169/1214720 |
j-invariant |
L |
9.1437335986372 |
L(r)(E,1)/r! |
Ω |
0.76015834989721 |
Real period |
R |
3.0071805800871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998777624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490a1 |
Quadratic twists by: 13 |