Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560df |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5269470474240 = 212 · 37 · 5 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35868,-2612288] |
[a1,a2,a3,a4,a6] |
j |
14526784/15 |
j-invariant |
L |
2.7754900514558 |
L(r)(E,1)/r! |
Ω |
0.34693625686115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560dm4 23520x4 1440k3 |
Quadratic twists by: -4 -3 -7 |