Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850dx |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1630615140000000 = 28 · 32 · 57 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-94963,11055281] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:3822:1] |
Generators of the group modulo torsion |
j |
51520374361/887040 |
j-invariant |
L |
8.2664592790212 |
L(r)(E,1)/r! |
Ω |
0.47474705179444 |
Real period |
R |
1.088271539277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002231 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170t1 11550ce1 |
Quadratic twists by: 5 -7 |