Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900g |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3927049620000000 = -1 · 28 · 3 · 57 · 133 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13508,-3070488] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1550:1] |
Generators of the group modulo torsion |
j |
-68150496976/981762405 |
j-invariant |
L |
3.400189618152 |
L(r)(E,1)/r! |
Ω |
0.18864098512681 |
Real period |
R |
0.50068500261431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999453627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180j2 |
Quadratic twists by: 5 |