Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200co |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-8367427584000000 = -1 · 218 · 32 · 56 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16192,4334388] |
[a1,a2,a3,a4,a6] |
j |
7335308807/130741056 |
j-invariant |
L |
3.6998040743791 |
L(r)(E,1)/r! |
Ω |
0.30831700437953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150s2 2928k2 |
Quadratic twists by: -4 5 |