Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200cq |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-83979202887680000 = -1 · 218 · 54 · 175 · 192 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -4 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-554208,159228788] |
[a1,a2,a3,a4,a6] |
Generators |
[124:9614:1] |
Generators of the group modulo torsion |
j |
-7353649093440625/32804376128 |
j-invariant |
L |
5.6921635179858 |
L(r)(E,1)/r! |
Ω |
0.34309784233748 |
Real period |
R |
4.1476241899063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997829499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16150ba1 129200bz1 |
Quadratic twists by: -4 5 |