Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11440u |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4178503635084247040 = -1 · 221 · 5 · 119 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1492600,709235312] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:34606:1] |
Generators of the group modulo torsion |
j |
-89783052551043953401/1020142489034240 |
j-invariant |
L |
4.1893721663843 |
L(r)(E,1)/r! |
Ω |
0.24751463838542 |
Real period |
R |
0.47015986539359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1430d3 45760bb3 102960df3 57200bm3 |
Quadratic twists by: -4 8 -3 5 |