Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bg |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21346234560000 = -1 · 29 · 34 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-222284] |
[a1,a2,a3,a4,a6] |
Generators |
[68:294:1] |
Generators of the group modulo torsion |
j |
-8/354375 |
j-invariant |
L |
3.9648595564822 |
L(r)(E,1)/r! |
Ω |
0.31189881823202 |
Real period |
R |
1.5890007130184 |
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 |
23520bs2 47040hh3 70560bw2 117600dd2 |
Quadratic twists by: -4 8 -3 5 |