Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240g |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
994022400 = 210 · 3 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-376,-2240] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:20:1] |
Generators of the group modulo torsion |
j |
5756278756/970725 |
j-invariant |
L |
4.0300369726209 |
L(r)(E,1)/r! |
Ω |
1.0963853708147 |
Real period |
R |
0.91893714538382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120ba2 |
Quadratic twists by: -4 |