Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31808y |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
21029970435375104 = 220 · 710 · 71 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 4 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74529,3531871] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:343:1] |
Generators of the group modulo torsion |
j |
174648757219273/80222970716 |
j-invariant |
L |
3.3930704763175 |
L(r)(E,1)/r! |
Ω |
0.34311072968991 |
Real period |
R |
1.977828253511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31808e2 7952h2 |
Quadratic twists by: -4 8 |