Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850dw |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
6.12241631232E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8524188,9501350781] |
[a1,a2,a3,a4,a6] |
Generators |
[-1779:138873:1] |
Generators of the group modulo torsion |
j |
37262716093162729/333053952000 |
j-invariant |
L |
8.0129840497917 |
L(r)(E,1)/r! |
Ω |
0.16347116127776 |
Real period |
R |
1.2254430669735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170z1 11550cj1 |
Quadratic twists by: 5 -7 |