Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bz |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-1.31217504512E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -4 5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13855208,19931308912] |
[a1,a2,a3,a4,a6] |
Generators |
[2066:-10982:1] |
Generators of the group modulo torsion |
j |
-7353649093440625/32804376128 |
j-invariant |
L |
4.7504454476161 |
L(r)(E,1)/r! |
Ω |
0.15343801968002 |
Real period |
R |
1.5480013976485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16150k1 129200cq1 |
Quadratic twists by: -4 5 |