Atkin-Lehner |
2- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400y |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8540000000000 = 211 · 510 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-455675,-118394250] |
[a1,a2,a3,a4,a6] |
Generators |
[6402:43401:8] [-1913622:22548:4913] |
Generators of the group modulo torsion |
j |
326993666206482/266875 |
j-invariant |
L |
10.852059395415 |
L(r)(E,1)/r! |
Ω |
0.18375356576345 |
Real period |
R |
59.057680595996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17080c3 |
Quadratic twists by: 5 |