Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1216f |
Isogeny class |
Conductor |
1216 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-1298188992512 = -1 · 219 · 195 |
Discriminant |
Eigenvalues |
2+ 1 4 3 -2 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4481,-129313] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/4952198 |
j-invariant |
L |
2.8964707129536 |
L(r)(E,1)/r! |
Ω |
0.28964707129536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1216j2 38b2 10944bl2 30400l2 |
Quadratic twists by: -4 8 -3 5 |