Atkin-Lehner |
2+ 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640b |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
325401658092887040 = 210 · 37 · 5 · 78 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176456,7851420] |
[a1,a2,a3,a4,a6] |
j |
593383556499001636/317775056731335 |
j-invariant |
L |
2.1337645928821 |
L(r)(E,1)/r! |
Ω |
0.26672057446195 |
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 |
119280j2 |
Quadratic twists by: -4 |