Atkin-Lehner |
2- 5- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bx |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
29 |
Product of Tamagawa factors cp |
deg |
3176544 |
Modular degree for the optimal curve |
Δ |
-6.9912799509217E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11- 6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,989712,135366481] |
[a1,a2,a3,a4,a6] |
j |
171541883944159230575/111860479214747648 |
j-invariant |
L |
3.5345945930133 |
L(r)(E,1)/r! |
Ω |
0.12188257250667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88550u1 |
Quadratic twists by: 5 |