Atkin-Lehner |
3- 5- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735r |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3998072925 = 36 · 52 · 72 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4890,131175] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-75:1] |
Generators of the group modulo torsion |
j |
12931706531187361/3998072925 |
j-invariant |
L |
4.8952400816822 |
L(r)(E,1)/r! |
Ω |
1.3619999063902 |
Real period |
R |
0.29951299670428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205r2 |
Quadratic twists by: -3 |