Atkin-Lehner |
7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22099d |
Isogeny class |
Conductor |
22099 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2952 |
Modular degree for the optimal curve |
Δ |
-22099 = -1 · 72 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 2 -1 7- 11- 3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-211,-1268] |
[a1,a2,a3,a4,a6] |
Generators |
[6920:46567:125] |
Generators of the group modulo torsion |
j |
-21208191361/451 |
j-invariant |
L |
4.6223453882866 |
L(r)(E,1)/r! |
Ω |
0.62630758518621 |
Real period |
R |
7.3803120026278 |
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 |
22099a1 |
Quadratic twists by: -7 |