Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312db |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
149919105024 = 221 · 32 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128289,-17728929] |
[a1,a2,a3,a4,a6] |
Generators |
[11943:1304640:1] |
Generators of the group modulo torsion |
j |
890749187850313/571896 |
j-invariant |
L |
6.3130968450652 |
L(r)(E,1)/r! |
Ω |
0.25226205792536 |
Real period |
R |
6.2564867269717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999628561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312n2 29328i2 |
Quadratic twists by: -4 8 |