Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560g |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-907748624664000000 = -1 · 29 · 39 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-371763,-98555562] |
[a1,a2,a3,a4,a6] |
j |
-4792616856/765625 |
j-invariant |
L |
3.0665981444712 |
L(r)(E,1)/r! |
Ω |
0.095831191119497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560i2 70560cr2 10080g2 |
Quadratic twists by: -4 -3 -7 |