Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850b |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
762048 |
Modular degree for the optimal curve |
Δ |
-21214172522188800 = -1 · 212 · 33 · 52 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42410,7754580] |
[a1,a2,a3,a4,a6] |
Generators |
[588:70330:27] |
Generators of the group modulo torsion |
j |
-58535617105/147197952 |
j-invariant |
L |
3.9457145650653 |
L(r)(E,1)/r! |
Ω |
0.33852200689772 |
Real period |
R |
5.8278553274022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850gx1 80850ce1 |
Quadratic twists by: 5 -7 |