Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
434b |
Isogeny class |
Conductor |
434 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-111104 = -1 · 29 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4,16] |
[a1,a2,a3,a4,a6] |
j |
-7189057/111104 |
j-invariant |
L |
2.8187709466297 |
L(r)(E,1)/r! |
Ω |
2.8187709466297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3472d1 13888k1 3906l1 10850h1 |
Quadratic twists by: -4 8 -3 5 |