Atkin-Lehner |
2- 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50350h |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-12587500000 = -1 · 25 · 58 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -2 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,245,-5253] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-270:1] |
Generators of the group modulo torsion |
j |
104487111/805600 |
j-invariant |
L |
8.6181923490154 |
L(r)(E,1)/r! |
Ω |
0.62819394395329 |
Real period |
R |
0.68594997069892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10070a1 |
Quadratic twists by: 5 |