Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240ca |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
633770555040000 = 28 · 310 · 54 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23007,-580606] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:810:1] |
Generators of the group modulo torsion |
j |
7216659188944/3395975625 |
j-invariant |
L |
5.7198164417573 |
L(r)(E,1)/r! |
Ω |
0.40582377773293 |
Real period |
R |
0.88089596446621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865857 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31080a2 |
Quadratic twists by: -3 |