Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bt |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
3.1482852881916E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2439816,1193650416] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:42390:1] |
Generators of the group modulo torsion |
j |
392134602959710675849/76862433793741200 |
j-invariant |
L |
3.9045427728198 |
L(r)(E,1)/r! |
Ω |
0.16309608702226 |
Real period |
R |
5.9850344159961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230n1 |
Quadratic twists by: -4 |