Atkin-Lehner |
2- 5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
122210m |
Isogeny class |
Conductor |
122210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-14408239365855500 = -1 · 22 · 53 · 1111 · 101 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11- 5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,57654,2232176] |
[a1,a2,a3,a4,a6] |
Generators |
[10701880:242049048:50653] |
Generators of the group modulo torsion |
j |
11963423082311/8133075500 |
j-invariant |
L |
10.41171927353 |
L(r)(E,1)/r! |
Ω |
0.24908372892242 |
Real period |
R |
10.450019408163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110b1 |
Quadratic twists by: -11 |