Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536c |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
667737391104 = 222 · 32 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4929,-125631] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:77:1] |
Generators of the group modulo torsion |
j |
50529889873/2547216 |
j-invariant |
L |
3.1370055400894 |
L(r)(E,1)/r! |
Ω |
0.57155775963074 |
Real period |
R |
2.7442594271803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25536dp2 798i2 76608bb2 |
Quadratic twists by: -4 8 -3 |