Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744v |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
52954583887872 = 212 · 315 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187275,31191802] |
[a1,a2,a3,a4,a6] |
Generators |
[134:2916:1] |
Generators of the group modulo torsion |
j |
243262773015625/17734383 |
j-invariant |
L |
8.6137513115937 |
L(r)(E,1)/r! |
Ω |
0.6002710263337 |
Real period |
R |
1.7937212947479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999200745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8109c1 43248bf1 |
Quadratic twists by: -4 -3 |