Atkin-Lehner |
2- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
105280z |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
-22569400000 = -1 · 26 · 55 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 6 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,58,7226] |
[a1,a2,a3,a4,a6] |
Generators |
[37:245:1] |
Generators of the group modulo torsion |
j |
337153536/352646875 |
j-invariant |
L |
6.773395967141 |
L(r)(E,1)/r! |
Ω |
0.9414468393022 |
Real period |
R |
0.71946664164167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105280bl1 52640a1 |
Quadratic twists by: -4 8 |