Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30900b |
Isogeny class |
Conductor |
30900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
24328188000000 = 28 · 310 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11708,-422088] |
[a1,a2,a3,a4,a6] |
j |
44376082000/6082047 |
j-invariant |
L |
1.3893965742932 |
L(r)(E,1)/r! |
Ω |
0.46313219143056 |
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 |
123600cl2 92700l2 1236c2 |
Quadratic twists by: -4 -3 5 |