Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920cz |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-819624960000000000 = -1 · 219 · 33 · 510 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-302401,-77522401] |
[a1,a2,a3,a4,a6] |
j |
-11666347147400401/3126621093750 |
j-invariant |
L |
1.2046830804665 |
L(r)(E,1)/r! |
Ω |
0.10039025702565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920eg2 2310p2 |
Quadratic twists by: -4 8 |