Atkin-Lehner |
2+ 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270a |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1740984300 = 22 · 33 · 52 · 112 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1650,26136] |
[a1,a2,a3,a4,a6] |
Generators |
[18:36:1] [-30:234:1] |
Generators of the group modulo torsion |
j |
18406017352827/64480900 |
j-invariant |
L |
7.2657411883239 |
L(r)(E,1)/r! |
Ω |
1.4975801241858 |
Real period |
R |
0.6064567991223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72270w2 |
Quadratic twists by: -3 |