Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1974h |
Isogeny class |
Conductor |
1974 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
190937124 = 22 · 32 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-144,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[20:62:1] |
Generators of the group modulo torsion |
j |
330369290497/190937124 |
j-invariant |
L |
4.345766145788 |
L(r)(E,1)/r! |
Ω |
1.5067209180264 |
Real period |
R |
2.8842542064661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15792w2 63168a2 5922f2 49350h2 |
Quadratic twists by: -4 8 -3 5 |