Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800jn |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
553063956480000000 = 220 · 39 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1514700,716634000] |
[a1,a2,a3,a4,a6] |
Generators |
[-660:37800:1] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
7.3990793614009 |
L(r)(E,1)/r! |
Ω |
0.29134855500029 |
Real period |
R |
2.1163308899502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800c3 25200cx3 100800jo1 20160cr3 |
Quadratic twists by: -4 8 -3 5 |