Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920n |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
72549509760000 = 210 · 34 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13720,467932] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:1040:1] |
Generators of the group modulo torsion |
j |
278944461825124/70849130625 |
j-invariant |
L |
4.1909402411586 |
L(r)(E,1)/r! |
Ω |
0.57560300835667 |
Real period |
R |
0.91011951386504 |
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 |
21840s3 87360ch3 32760n3 54600t3 |
Quadratic twists by: -4 8 -3 5 |