Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344dc |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
7.052061104154E+23 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11- 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2016150081,34845001245409] |
[a1,a2,a3,a4,a6] |
Generators |
[25957:7744:1] |
Generators of the group modulo torsion |
j |
3457421777436801623930814481/2690147821103679244 |
j-invariant |
L |
4.0453472276814 |
L(r)(E,1)/r! |
Ω |
0.075209765940884 |
Real period |
R |
0.89645876919297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999388978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344bi2 28336l2 |
Quadratic twists by: -4 8 |