Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560u |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1080653124600000000 = -1 · 29 · 38 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204477,-35141722] |
[a1,a2,a3,a4,a6] |
Generators |
[217:4410:1] |
Generators of the group modulo torsion |
j |
21531355768/24609375 |
j-invariant |
L |
5.0486445168074 |
L(r)(E,1)/r! |
Ω |
0.14859538309731 |
Real period |
R |
2.1234864483991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560v2 23520bj2 10080w4 |
Quadratic twists by: -4 -3 -7 |