Atkin-Lehner |
2- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11050p |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34608 |
Modular degree for the optimal curve |
Δ |
-6668003436250 = -1 · 2 · 54 · 13 · 177 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -3 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11238,474142] |
[a1,a2,a3,a4,a6] |
j |
-251138440675825/10668805498 |
j-invariant |
L |
0.74331123814735 |
L(r)(E,1)/r! |
Ω |
0.74331123814735 |
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 |
88400cc1 99450bw1 11050b1 |
Quadratic twists by: -4 -3 5 |