Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710cj |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
3136320 |
Modular degree for the optimal curve |
Δ |
-1.9048444626974E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7262241,7535080521] |
[a1,a2,a3,a4,a6] |
j |
-1633085171359609/734400000 |
j-invariant |
L |
5.7756837969418 |
L(r)(E,1)/r! |
Ω |
0.21391421495037 |
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 |
61710bc1 |
Quadratic twists by: -11 |