Atkin-Lehner |
2+ 3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890z |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-888197083593750 = -1 · 2 · 37 · 58 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84204,9534510] |
[a1,a2,a3,a4,a6] |
Generators |
[51:2292:1] |
Generators of the group modulo torsion |
j |
-90572687137291969/1218377343750 |
j-invariant |
L |
5.1809998815133 |
L(r)(E,1)/r! |
Ω |
0.50035216112107 |
Real period |
R |
0.3235845847592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630v2 |
Quadratic twists by: -3 |