Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496g |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3643813533696 = 211 · 3 · 76 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5112,104880] |
[a1,a2,a3,a4,a6] |
Generators |
[43867733:-67207860:753571] |
Generators of the group modulo torsion |
j |
61328594/15123 |
j-invariant |
L |
9.812885571571 |
L(r)(E,1)/r! |
Ω |
0.73970357709214 |
Real period |
R |
13.265970142728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1704a2 |
Quadratic twists by: -7 |