Atkin-Lehner |
2- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160bc |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
10145824000 = 28 · 53 · 13 · 293 |
Discriminant |
Eigenvalues |
2- -1 5- -5 0 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1842885,963546217] |
[a1,a2,a3,a4,a6] |
Generators |
[784:5:1] [169:25630:1] |
Generators of the group modulo torsion |
j |
2703825676414184390656/39632125 |
j-invariant |
L |
6.6070138376078 |
L(r)(E,1)/r! |
Ω |
0.65691081533441 |
Real period |
R |
1.6762838230545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7540g2 120640ca2 |
Quadratic twists by: -4 8 |