Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650q |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-143263080000000 = -1 · 29 · 36 · 57 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5058,557716] |
[a1,a2,a3,a4,a6] |
j |
1256216039/12577280 |
j-invariant |
L |
0.85331057898716 |
L(r)(E,1)/r! |
Ω |
0.42665528949358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200ex2 850k2 1530m2 |
Quadratic twists by: -4 -3 5 |