Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gp |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-1627083612000000 = -1 · 28 · 34 · 56 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112638,14669892] |
[a1,a2,a3,a4,a6] |
Generators |
[228:-1038:1] |
Generators of the group modulo torsion |
j |
-29489309167375/303595776 |
j-invariant |
L |
13.346046402618 |
L(r)(E,1)/r! |
Ω |
0.47632872290932 |
Real period |
R |
0.21889502458486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3234g1 80850ep1 |
Quadratic twists by: 5 -7 |