Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dk |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-355837460868288 = -1 · 26 · 39 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-907578] |
[a1,a2,a3,a4,a6] |
Generators |
[671655:49233771:125] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.0209701531014 |
L(r)(E,1)/r! |
Ω |
0.24682229589023 |
Real period |
R |
10.171224878595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224k2 7056bh2 28224dk1 28224cx2 |
Quadratic twists by: -4 8 -3 -7 |