Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600bc |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2716254000000000 = 210 · 310 · 59 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51208,3671588] |
[a1,a2,a3,a4,a6] |
j |
7425327956/1358127 |
j-invariant |
L |
4.3225304767535 |
L(r)(E,1)/r! |
Ω |
0.43225304767534 |
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 |
13800j2 110400hh2 82800bt2 27600n2 |
Quadratic twists by: -4 8 -3 5 |