Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5202j |
Isogeny class |
Conductor |
5202 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
796728379081540608 = 210 · 38 · 179 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-479939,-120434749] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:2482:1] |
Generators of the group modulo torsion |
j |
141420761/9216 |
j-invariant |
L |
5.8705439145147 |
L(r)(E,1)/r! |
Ω |
0.18212768223298 |
Real period |
R |
3.2233122623309 |
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 |
41616ch1 1734f1 5202k1 |
Quadratic twists by: -4 -3 17 |