Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bv |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
679503462400 = 220 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34348,2449872] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:2100:1] [16:1380:1] |
Generators of the group modulo torsion |
j |
17095749786081/2592100 |
j-invariant |
L |
8.916044247013 |
L(r)(E,1)/r! |
Ω |
0.8763883356137 |
Real period |
R |
5.0868113396164 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51520c2 12880y2 |
Quadratic twists by: -4 8 |