Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462y |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-170592124555141632 = -1 · 29 · 312 · 76 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,79477,17936057] |
[a1,a2,a3,a4,a6] |
Generators |
[15:4366:1] |
Generators of the group modulo torsion |
j |
471910376801375/1450009133568 |
j-invariant |
L |
6.8880543083879 |
L(r)(E,1)/r! |
Ω |
0.22699247022077 |
Real period |
R |
1.6858254523912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64386o2 438a2 |
Quadratic twists by: -3 -7 |