Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690z |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3746530376717760 = -1 · 26 · 39 · 5 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58187,-6138341] |
[a1,a2,a3,a4,a6] |
Generators |
[287110264:-11614544017:175616] |
Generators of the group modulo torsion |
j |
-1860867/320 |
j-invariant |
L |
11.115054063285 |
L(r)(E,1)/r! |
Ω |
0.15226617688128 |
Real period |
R |
12.166254174498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690a1 90a3 |
Quadratic twists by: -3 29 |