Atkin-Lehner |
2+ 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330a |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
737437500 = 22 · 33 · 56 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27960,1806516] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1311:1] |
Generators of the group modulo torsion |
j |
89532391751061147/27312500 |
j-invariant |
L |
4.6989778739653 |
L(r)(E,1)/r! |
Ω |
1.2874708095254 |
Real period |
R |
1.8248871505279 |
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 |
39330bh2 |
Quadratic twists by: -3 |