Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
11808j |
Isogeny class |
Conductor |
11808 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-1601596122624 = -1 · 29 · 33 · 415 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 0 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2277,-44254] |
[a1,a2,a3,a4,a6] |
Generators |
[530:5043:8] |
Generators of the group modulo torsion |
j |
94445023464/115856201 |
j-invariant |
L |
4.3402238621224 |
L(r)(E,1)/r! |
Ω |
0.45254984221039 |
Real period |
R |
0.95905985535724 |
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 |
11808k1 23616bf1 11808a1 |
Quadratic twists by: -4 8 -3 |