Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300bd |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1181168044245280000 = 28 · 54 · 76 · 137 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4517933,-3697356337] |
[a1,a2,a3,a4,a6] |
Generators |
[7193:579670:1] |
Generators of the group modulo torsion |
j |
13205749964800/1529437 |
j-invariant |
L |
6.8312218624162 |
L(r)(E,1)/r! |
Ω |
0.10355417623752 |
Real period |
R |
0.91621685687647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999529577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118300t2 9100l2 |
Quadratic twists by: 5 13 |