Atkin-Lehner |
2- 7+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872v |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4.934466908765E+22 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4589048,9993788144] |
[a1,a2,a3,a4,a6] |
Generators |
[-940:69632:1] |
Generators of the group modulo torsion |
j |
2609344798001548073207/12047038351477047296 |
j-invariant |
L |
3.3426714186693 |
L(r)(E,1)/r! |
Ω |
0.080911608332844 |
Real period |
R |
1.7213596247522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234g2 |
Quadratic twists by: -4 |