Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024ek |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.2888698812973E+26 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124794784,-765729910156] |
[a1,a2,a3,a4,a6] |
Generators |
[764818780:254037421722:6859] |
Generators of the group modulo torsion |
j |
-446030778735169043473/267461260498268466 |
j-invariant |
L |
11.816369942303 |
L(r)(E,1)/r! |
Ω |
0.021982233696755 |
Real period |
R |
14.931717258875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878bi3 12432bf3 |
Quadratic twists by: -4 -7 |