Atkin-Lehner |
3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075d |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53773033359375 = 39 · 57 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20630,-1079378] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:250:1] |
Generators of the group modulo torsion |
j |
3157114563/174845 |
j-invariant |
L |
3.2484027417051 |
L(r)(E,1)/r! |
Ω |
0.3997356978173 |
Real period |
R |
1.0157970502262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075k2 8415a2 |
Quadratic twists by: -3 5 |