Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200v |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2420000000000 = 211 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6875,-206250] |
[a1,a2,a3,a4,a6] |
Generators |
[-694922:120784:12167] |
Generators of the group modulo torsion |
j |
14850 |
j-invariant |
L |
5.402672781362 |
L(r)(E,1)/r! |
Ω |
0.5265214783882 |
Real period |
R |
10.261068167439 |
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 |
48400h1 24200l1 24200d1 |
Quadratic twists by: -4 5 -11 |