Atkin-Lehner |
2+ 3+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142c |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
594048 |
Modular degree for the optimal curve |
Δ |
-9926506741358592 = -1 · 213 · 33 · 72 · 117 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-174207,28437517] |
[a1,a2,a3,a4,a6] |
Generators |
[281:-1411:1] |
Generators of the group modulo torsion |
j |
-21654998396356480875/367648397828096 |
j-invariant |
L |
5.0696217855733 |
L(r)(E,1)/r! |
Ω |
0.40855901253125 |
Real period |
R |
0.44316222469212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65142s1 |
Quadratic twists by: -3 |