Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1302l |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
15013703061504 = 212 · 34 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20584,-1129879] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:115:1] |
Generators of the group modulo torsion |
j |
964526913483831937/15013703061504 |
j-invariant |
L |
3.0095643248171 |
L(r)(E,1)/r! |
Ω |
0.39895753203486 |
Real period |
R |
2.5145235462925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
10416bl2 41664bt2 3906h2 32550bc2 |
Quadratic twists by: -4 8 -3 5 |