Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bj |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10233922682880 = 215 · 37 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7788,215152] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:468:1] |
Generators of the group modulo torsion |
j |
2186875592/428415 |
j-invariant |
L |
5.312397427976 |
L(r)(E,1)/r! |
Ω |
0.68620937831049 |
Real period |
R |
0.96770708691266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bk4 18720bj3 12480bh3 |
Quadratic twists by: -4 8 -3 |