Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ca |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5598720 |
Modular degree for the optimal curve |
Δ |
-5.9925106395E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11806576,-15620139202] |
[a1,a2,a3,a4,a6] |
Generators |
[14364298445803912:2513298788743302407:460636242067] |
Generators of the group modulo torsion |
j |
-158419003440625/52157952 |
j-invariant |
L |
6.2634458535155 |
L(r)(E,1)/r! |
Ω |
0.040722083885805 |
Real period |
R |
25.634926866218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850ez1 11550b1 |
Quadratic twists by: 5 -7 |