Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11730s |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
3459317760 = 216 · 33 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1185,-15543] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:15:1] |
Generators of the group modulo torsion |
j |
184035526845841/3459317760 |
j-invariant |
L |
7.7578315294663 |
L(r)(E,1)/r! |
Ω |
0.81463637652563 |
Real period |
R |
0.79358837810077 |
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 |
93840bw1 35190i1 58650c1 |
Quadratic twists by: -4 -3 5 |