Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bp |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-2.4113152E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,663992,111791988] |
[a1,a2,a3,a4,a6] |
Generators |
[15466:742951:8] |
Generators of the group modulo torsion |
j |
505861496763839/376768000000 |
j-invariant |
L |
4.080243686244 |
L(r)(E,1)/r! |
Ω |
0.13600969116837 |
Real period |
R |
7.4999135161919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10150a1 16240q1 |
Quadratic twists by: -4 5 |