Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bv |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
422051840 = 219 · 5 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549548,156803792] |
[a1,a2,a3,a4,a6] |
Generators |
[464:1308:1] [1328:42060:1] |
Generators of the group modulo torsion |
j |
70016546394529281/1610 |
j-invariant |
L |
8.916044247013 |
L(r)(E,1)/r! |
Ω |
0.8763883356137 |
Real period |
R |
20.347245358466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520c4 12880y3 |
Quadratic twists by: -4 8 |