Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
28182i |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
Δ |
-1.07860795689E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11254821,-15368974448] |
[a1,a2,a3,a4,a6] |
Generators |
[4510:157778:1] |
Generators of the group modulo torsion |
j |
-157666502343597650231991625/10786079568900016668672 |
j-invariant |
L |
4.9166491541935 |
L(r)(E,1)/r! |
Ω |
0.041051101910743 |
Real period |
R |
4.43588864479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84546br2 |
Quadratic twists by: -3 |