Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11440u |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-26314681462784000 = -1 · 215 · 53 · 113 · 136 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,62200,5005552] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:1430:1] |
Generators of the group modulo torsion |
j |
6497225437879799/6424482779000 |
j-invariant |
L |
4.1893721663843 |
L(r)(E,1)/r! |
Ω |
0.24751463838542 |
Real period |
R |
0.1567199551312 |
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 |
1430d2 45760bb2 102960df2 57200bm2 |
Quadratic twists by: -4 8 -3 5 |