Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394i |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-68241827052 = -1 · 22 · 39 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52,-12581] |
[a1,a2,a3,a4,a6] |
j |
804357/3467044 |
j-invariant |
L |
4.0693827540469 |
L(r)(E,1)/r! |
Ω |
0.50867284425586 |
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 |
19152bi2 76608t2 2394c2 59850h2 |
Quadratic twists by: -4 8 -3 5 |