Atkin-Lehner |
2+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1334b |
Isogeny class |
Conductor |
1334 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
248996365298 = 2 · 236 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 4 2 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8717,-310165] |
[a1,a2,a3,a4,a6] |
j |
73257631680515625/248996365298 |
j-invariant |
L |
1.4825708999078 |
L(r)(E,1)/r! |
Ω |
0.49419029996927 |
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 |
10672c2 42688g2 12006l2 33350h2 |
Quadratic twists by: -4 8 -3 5 |