Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
23400q |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
10250323200 = 28 · 36 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-900,-9180] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:26:1] |
Generators of the group modulo torsion |
j |
17280000/2197 |
j-invariant |
L |
5.24762949997 |
L(r)(E,1)/r! |
Ω |
0.87893412638644 |
Real period |
R |
0.49753723880164 |
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 |
46800be1 2600k1 23400bq1 |
Quadratic twists by: -4 -3 5 |