Atkin-Lehner |
2- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
20086d |
Isogeny class |
Conductor |
20086 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
-44570044178308 = -1 · 22 · 117 · 833 |
Discriminant |
Eigenvalues |
2- -2 0 1 11- -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6718,384264] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:292:1] |
Generators of the group modulo torsion |
j |
-18927429625/25158628 |
j-invariant |
L |
5.3259346756677 |
L(r)(E,1)/r! |
Ω |
0.57732949866373 |
Real period |
R |
2.3062803338453 |
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 |
1826a1 |
Quadratic twists by: -11 |