Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040cz |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
718697688250613760 = 215 · 312 · 5 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1027520,398475060] |
[a1,a2,a3,a4,a6] |
Generators |
[-902:24336:1] |
Generators of the group modulo torsion |
j |
29291056630578924481/175463302795560 |
j-invariant |
L |
7.2913157258481 |
L(r)(E,1)/r! |
Ω |
0.2869890689967 |
Real period |
R |
1.0585937052284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630s3 |
Quadratic twists by: -4 |