Atkin-Lehner |
2- 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112cb |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-1731404590272024624 = -1 · 24 · 317 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- 6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114792,61512491] |
[a1,a2,a3,a4,a6] |
j |
14342044606398464/148440036888891 |
j-invariant |
L |
2.7315276876501 |
L(r)(E,1)/r! |
Ω |
0.19510912014293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17028g1 22704r1 |
Quadratic twists by: -4 -3 |