Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045p |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2058240 |
Modular degree for the optimal curve |
Δ |
-3.2772169411735E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7795905,8384621336] |
[a1,a2,a3,a4,a6] |
Generators |
[4966:489645:8] |
Generators of the group modulo torsion |
j |
-71877974412415806187281/44954964899499655 |
j-invariant |
L |
5.1328895930057 |
L(r)(E,1)/r! |
Ω |
0.20541192298059 |
Real period |
R |
2.4988274869908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005d1 |
Quadratic twists by: -3 |