Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26520y |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
4253770235520000 = 210 · 34 · 54 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281016,57158784] |
[a1,a2,a3,a4,a6] |
Generators |
[264:1200:1] |
Generators of the group modulo torsion |
j |
2396726313900986596/4154072495625 |
j-invariant |
L |
6.1244648618116 |
L(r)(E,1)/r! |
Ω |
0.43778834021019 |
Real period |
R |
1.7486946028734 |
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 |
53040a1 79560w1 |
Quadratic twists by: -4 -3 |