Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394b |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
110985967250178048 = 224 · 39 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152187,16325477] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1750:1] |
Generators of the group modulo torsion |
j |
19804628171203875/5638671302656 |
j-invariant |
L |
2.3784449923133 |
L(r)(E,1)/r! |
Ω |
0.31041942872211 |
Real period |
R |
1.2770060828691 |
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 |
19152bg3 76608m3 2394h1 59850ea3 |
Quadratic twists by: -4 8 -3 5 |