Atkin-Lehner |
2+ 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270a |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
216810000 = 24 · 33 · 54 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:30:1] [0:6:1] |
Generators of the group modulo torsion |
j |
13875904827/8030000 |
j-invariant |
L |
7.2657411883239 |
L(r)(E,1)/r! |
Ω |
1.4975801241858 |
Real period |
R |
2.4258271964892 |
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 |
72270w1 |
Quadratic twists by: -3 |