Atkin-Lehner |
3- 5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675bd |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4451499609375 = -1 · 3 · 58 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3787,-47208] |
[a1,a2,a3,a4,a6] |
Generators |
[3999:50413:27] |
Generators of the group modulo torsion |
j |
384399163511/284895975 |
j-invariant |
L |
5.0356413409399 |
L(r)(E,1)/r! |
Ω |
0.43440104263238 |
Real period |
R |
5.7960741579055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935a1 |
Quadratic twists by: 5 |