Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ba |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1260000 |
Modular degree for the optimal curve |
Δ |
-483236057969280000 = -1 · 210 · 35 · 54 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 0 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,118800,29548800] |
[a1,a2,a3,a4,a6] |
Generators |
[109376:36118576:1] |
Generators of the group modulo torsion |
j |
1050284375/2737152 |
j-invariant |
L |
4.0783431957416 |
L(r)(E,1)/r! |
Ω |
0.20656904967672 |
Real period |
R |
9.8716221147871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850fp1 80850ct1 |
Quadratic twists by: 5 -7 |