Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2890c |
Isogeny class |
Conductor |
2890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
164135469200 = 24 · 52 · 177 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 2 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2173,32877] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2082:1] |
Generators of the group modulo torsion |
j |
47045881/6800 |
j-invariant |
L |
3.3144036384086 |
L(r)(E,1)/r! |
Ω |
0.98006926511928 |
Real period |
R |
0.84545137684867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23120s1 92480cc1 26010bt1 14450x1 |
Quadratic twists by: -4 8 -3 5 |