Atkin-Lehner |
2+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68728a |
Isogeny class |
Conductor |
68728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
3771509036382208 = 211 · 1110 · 71 |
Discriminant |
Eigenvalues |
2+ 1 0 1 11- -7 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44568,2079152] |
[a1,a2,a3,a4,a6] |
j |
2698465250/1039511 |
j-invariant |
L |
0.80572445437505 |
L(r)(E,1)/r! |
Ω |
0.40286222713638 |
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 |
6248c1 |
Quadratic twists by: -11 |