Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850fz |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
24243806979000 = 23 · 312 · 53 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35240,2543987] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:1315:1] [-81:2245:1] |
Generators of the group modulo torsion |
j |
53110735567469/266050008 |
j-invariant |
L |
13.756222775414 |
L(r)(E,1)/r! |
Ω |
0.67681356920667 |
Real period |
R |
1.6937483970581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950bc2 59850dd2 |
Quadratic twists by: -3 5 |