Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542n |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-4997158041747456 = -1 · 216 · 35 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5642,3404540] |
[a1,a2,a3,a4,a6] |
Generators |
[93:1873:1] |
Generators of the group modulo torsion |
j |
-822656953/207028224 |
j-invariant |
L |
3.2986504733188 |
L(r)(E,1)/r! |
Ω |
0.35178238393039 |
Real period |
R |
1.8753926427263 |
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 |
67626bc1 78a1 |
Quadratic twists by: -3 17 |