Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11808i |
Isogeny class |
Conductor |
11808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
17216064 = 26 · 38 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1101,14060] |
[a1,a2,a3,a4,a6] |
Generators |
[17:16:1] |
Generators of the group modulo torsion |
j |
3163575232/369 |
j-invariant |
L |
3.7397513030479 |
L(r)(E,1)/r! |
Ω |
2.1058136332376 |
Real period |
R |
1.7759175095178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11808p1 23616q1 3936b1 |
Quadratic twists by: -4 8 -3 |