Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840dl |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1828941987840 = -1 · 220 · 3 · 5 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2040,73428] |
[a1,a2,a3,a4,a6] |
Generators |
[23:198:1] |
Generators of the group modulo torsion |
j |
-229333309561/446519040 |
j-invariant |
L |
8.6314027568117 |
L(r)(E,1)/r! |
Ω |
0.7442097460995 |
Real period |
R |
2.899519524714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230i1 |
Quadratic twists by: -4 |