Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11050b |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
173040 |
Modular degree for the optimal curve |
Δ |
-104187553691406250 = -1 · 2 · 510 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -3 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-280950,59267750] |
[a1,a2,a3,a4,a6] |
j |
-251138440675825/10668805498 |
j-invariant |
L |
2.3269322397118 |
L(r)(E,1)/r! |
Ω |
0.3324188913874 |
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 |
88400bc1 99450ck1 11050p1 |
Quadratic twists by: -4 -3 5 |