Atkin-Lehner |
2+ 3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926j |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
214416909252 = 22 · 32 · 7 · 134 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4006,-96704] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:64:1] |
Generators of the group modulo torsion |
j |
7112559756808297/214416909252 |
j-invariant |
L |
2.2950215310332 |
L(r)(E,1)/r! |
Ω |
0.60118575198503 |
Real period |
R |
0.63624859245676 |
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 |
50778bp1 118482bp1 |
Quadratic twists by: -3 -7 |