Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bg |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6324810240 = 29 · 3 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54896,-4932360] |
[a1,a2,a3,a4,a6] |
Generators |
[441:7512:1] |
Generators of the group modulo torsion |
j |
303735479048/105 |
j-invariant |
L |
3.9648595564822 |
L(r)(E,1)/r! |
Ω |
0.31189881823202 |
Real period |
R |
6.3560028520736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23520bs4 47040hh4 70560bw4 117600dd4 |
Quadratic twists by: -4 8 -3 5 |