Atkin-Lehner |
2+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070n |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
-9191708817280000 = -1 · 210 · 54 · 118 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49607,1790556] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1507:1] |
Generators of the group modulo torsion |
j |
62983052759/42880000 |
j-invariant |
L |
4.3749485817718 |
L(r)(E,1)/r! |
Ω |
0.2586534632666 |
Real period |
R |
0.70476351661175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81070u1 |
Quadratic twists by: -11 |