Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11050c |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-2828800 = -1 · 29 · 52 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 3 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20,80] |
[a1,a2,a3,a4,a6] |
j |
-38226865/113152 |
j-invariant |
L |
2.240822954479 |
L(r)(E,1)/r! |
Ω |
2.240822954479 |
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 |
88400bb1 99450cm1 11050o1 |
Quadratic twists by: -4 -3 5 |