Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526s |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
26819763923038464 = 28 · 32 · 712 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-97364,-8680939] |
[a1,a2,a3,a4,a6] |
j |
867622835347633/227964231936 |
j-invariant |
L |
2.204381971408 |
L(r)(E,1)/r! |
Ω |
0.275547746426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68208cy2 25578m2 1218g2 |
Quadratic twists by: -4 -3 -7 |