Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11808b |
Isogeny class |
Conductor |
11808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1167563573392896 = -1 · 29 · 39 · 415 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 0 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20493,-1194858] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1306:1] |
Generators of the group modulo torsion |
j |
94445023464/115856201 |
j-invariant |
L |
4.8315712374865 |
L(r)(E,1)/r! |
Ω |
0.26127977322189 |
Real period |
R |
4.6229862896652 |
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 |
11808a1 23616y1 11808k1 |
Quadratic twists by: -4 8 -3 |