Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648bd |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
109625177088 = 210 · 310 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6915,-220754] |
[a1,a2,a3,a4,a6] |
j |
48986090500/146853 |
j-invariant |
L |
2.094545338665 |
L(r)(E,1)/r! |
Ω |
0.52363633466625 |
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 |
37296i2 6216k2 |
Quadratic twists by: -4 -3 |