Atkin-Lehner |
2+ 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bb |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44540607515625000 = 23 · 32 · 59 · 132 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-105526,8416448] |
[a1,a2,a3,a4,a6] |
Generators |
[82:521:1] |
Generators of the group modulo torsion |
j |
8317181887752529/2850598881000 |
j-invariant |
L |
6.1116778094825 |
L(r)(E,1)/r! |
Ω |
0.33093783656009 |
Real period |
R |
2.3084689682751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430x2 |
Quadratic twists by: 5 |