Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720cg |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2307346725888000 = -1 · 213 · 37 · 53 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20013,2038034] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-1818:1] |
Generators of the group modulo torsion |
j |
296874449711/772725750 |
j-invariant |
L |
6.4213448507844 |
L(r)(E,1)/r! |
Ω |
0.32244838197937 |
Real period |
R |
0.55317595083251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090l2 24240s2 |
Quadratic twists by: -4 -3 |