Atkin-Lehner |
2- 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bi |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26265600 |
Modular degree for the optimal curve |
Δ |
1.7314461865768E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1898614713,-31843013250969] |
[a1,a2,a3,a4,a6] |
j |
48441124061138257597391458249/1108125559409156640 |
j-invariant |
L |
4.1168292051205 |
L(r)(E,1)/r! |
Ω |
0.022871273365362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210l1 |
Quadratic twists by: 5 |