Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600k |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
323352324000000 = 28 · 310 · 56 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99975,12136250] |
[a1,a2,a3,a4,a6] |
j |
37897488592/110889 |
j-invariant |
L |
2.1779198488943 |
L(r)(E,1)/r! |
Ω |
0.5444799587055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22200l2 2664g2 |
Quadratic twists by: -3 5 |