Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12880s |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
230809600000000 = 219 · 58 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-249763,48038562] |
[a1,a2,a3,a4,a6] |
j |
420676324562824569/56350000000 |
j-invariant |
L |
2.1516115255304 |
L(r)(E,1)/r! |
Ω |
0.5379028813826 |
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 |
1610a2 51520ck2 115920eu2 64400ba2 |
Quadratic twists by: -4 8 -3 5 |