Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
119652b |
Isogeny class |
Conductor |
119652 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
116136268155648 = 28 · 33 · 136 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21012,1058472] |
[a1,a2,a3,a4,a6] |
Generators |
[113:338:1] |
Generators of the group modulo torsion |
j |
830321872/93987 |
j-invariant |
L |
7.5864481690217 |
L(r)(E,1)/r! |
Ω |
0.57188331070739 |
Real period |
R |
2.210954589359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
708a2 |
Quadratic twists by: 13 |