Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480d |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2623316505600 = 210 · 3 · 52 · 7 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11936,499836] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:470:1] |
Generators of the group modulo torsion |
j |
183669299920516/2561832525 |
j-invariant |
L |
4.9601834316333 |
L(r)(E,1)/r! |
Ω |
0.81266229529163 |
Real period |
R |
1.5259054900088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960o4 118440cl4 |
Quadratic twists by: -4 -3 |