Atkin-Lehner |
5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108445i |
Isogeny class |
Conductor |
108445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
151736786225 = 52 · 236 · 41 |
Discriminant |
Eigenvalues |
-1 2 5- -2 -6 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11120,446320] |
[a1,a2,a3,a4,a6] |
j |
1027243729/1025 |
j-invariant |
L |
2.044851394071 |
L(r)(E,1)/r! |
Ω |
1.0224253883901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205b1 |
Quadratic twists by: -23 |