Atkin-Lehner |
2+ 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11590d |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-524719140625000000 = -1 · 26 · 514 · 192 · 612 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23937,34824338] |
[a1,a2,a3,a4,a6] |
Generators |
[479:-12740:1] |
Generators of the group modulo torsion |
j |
1516906988400446999/524719140625000000 |
j-invariant |
L |
2.6445553810264 |
L(r)(E,1)/r! |
Ω |
0.22739987733159 |
Real period |
R |
0.41534062187511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92720bh2 104310bp2 57950bg2 |
Quadratic twists by: -4 -3 5 |