Atkin-Lehner |
2- 3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558u |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1276733725362966528 = 212 · 35 · 7 · 17 · 476 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-631699341,-6111283830909] |
[a1,a2,a3,a4,a6] |
Generators |
[4553655:545772364:125] |
Generators of the group modulo torsion |
j |
27877574407902923526613879587409/1276733725362966528 |
j-invariant |
L |
9.3248478574807 |
L(r)(E,1)/r! |
Ω |
0.030114242875063 |
Real period |
R |
12.902045354651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674h2 |
Quadratic twists by: -3 |