Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20600u |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-41200000000 = -1 · 210 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 2 5- -1 -4 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,792,4412] |
[a1,a2,a3,a4,a6] |
Generators |
[17:150:1] |
Generators of the group modulo torsion |
j |
137180/103 |
j-invariant |
L |
6.8479194006429 |
L(r)(E,1)/r! |
Ω |
0.73222468168585 |
Real period |
R |
1.5587017600655 |
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 |
41200v1 20600e1 |
Quadratic twists by: -4 5 |