Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560cy |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-10143580160 = -1 · 214 · 5 · 73 · 192 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 3 3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565,7277] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:19:1] |
Generators of the group modulo torsion |
j |
-1219600384/619115 |
j-invariant |
L |
5.5014246065749 |
L(r)(E,1)/r! |
Ω |
1.1990531719024 |
Real period |
R |
2.2940703279431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560br1 10640n1 |
Quadratic twists by: -4 8 |