Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760bl |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
100373852160 = 212 · 310 · 5 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318747,69265546] |
[a1,a2,a3,a4,a6] |
Generators |
[2351:110970:1] |
Generators of the group modulo torsion |
j |
1199429023756249/33615 |
j-invariant |
L |
7.447183481046 |
L(r)(E,1)/r! |
Ω |
0.77701034247438 |
Real period |
R |
4.7922035744454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3735e3 19920k3 |
Quadratic twists by: -4 -3 |