Atkin-Lehner |
2- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122200bd |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
2889600 |
Modular degree for the optimal curve |
Δ |
-2359344239200000000 = -1 · 211 · 58 · 137 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,245125,-57266250] |
[a1,a2,a3,a4,a6] |
Generators |
[350:8450:1] |
Generators of the group modulo torsion |
j |
2036088003870/2949180299 |
j-invariant |
L |
2.2218129621531 |
L(r)(E,1)/r! |
Ω |
0.13713440893054 |
Real period |
R |
0.77151036108584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122200a1 |
Quadratic twists by: 5 |