Atkin-Lehner |
3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
75705g |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
75750782220225 = 36 · 52 · 79 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 6 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-189386,31641014] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:7805:1] |
Generators of the group modulo torsion |
j |
18615945965527/1877175 |
j-invariant |
L |
2.9196629112739 |
L(r)(E,1)/r! |
Ω |
0.58677609363767 |
Real period |
R |
2.4878850235685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705y2 |
Quadratic twists by: -7 |