Atkin-Lehner |
2- 5+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17630d |
Isogeny class |
Conductor |
17630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-114940089620 = -1 · 22 · 5 · 412 · 434 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1473,27557] |
[a1,a2,a3,a4,a6] |
Generators |
[47:222:1] |
Generators of the group modulo torsion |
j |
-353228318492769/114940089620 |
j-invariant |
L |
7.1453858119521 |
L(r)(E,1)/r! |
Ω |
0.99349309193004 |
Real period |
R |
1.7980461741488 |
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 |
88150a2 |
Quadratic twists by: 5 |