Atkin-Lehner |
2+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150n |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3435234467198187500 = 22 · 56 · 712 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2179142,-1234398984] |
[a1,a2,a3,a4,a6] |
Generators |
[2114:-61082:1] [-867:2058:1] |
Generators of the group modulo torsion |
j |
73242033206031264177/219855005900684 |
j-invariant |
L |
7.9689555155325 |
L(r)(E,1)/r! |
Ω |
0.12428151264137 |
Real period |
R |
1.3358375115012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2926a3 |
Quadratic twists by: 5 |