Atkin-Lehner |
3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005d |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20679498264915 = -1 · 36 · 5 · 77 · 832 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6859,-5146] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-686:1] [518:6505:8] |
Generators of the group modulo torsion |
j |
303328992959/175772835 |
j-invariant |
L |
4.8844025198207 |
L(r)(E,1)/r! |
Ω |
0.40546242465877 |
Real period |
R |
3.0116246430959 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715l2 |
Quadratic twists by: -7 |