Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600s |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-144179200 = -1 · 219 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11- 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127,223] |
[a1,a2,a3,a4,a6] |
j |
34295/22 |
j-invariant |
L |
2.2874288623433 |
L(r)(E,1)/r! |
Ω |
1.1437144311716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17600bw1 550h1 17600bh1 |
Quadratic twists by: -4 8 5 |