Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800t |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.1734906640625E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81562908,-283544661312] |
[a1,a2,a3,a4,a6] |
Generators |
[29056566:550459701:2744] |
Generators of the group modulo torsion |
j |
15001746780085491682384/293372666015625 |
j-invariant |
L |
7.1121914694022 |
L(r)(E,1)/r! |
Ω |
0.050237369199508 |
Real period |
R |
11.797644527586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999997694 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360r2 |
Quadratic twists by: 5 |