Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120cp |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-5247913164800 = -1 · 229 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- -1 4 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5505,-190175] |
[a1,a2,a3,a4,a6] |
Generators |
[2805:148480:1] |
Generators of the group modulo torsion |
j |
-70393838689/20019200 |
j-invariant |
L |
6.9136459491381 |
L(r)(E,1)/r! |
Ω |
0.27310032842152 |
Real period |
R |
3.164425869895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120ba1 31280k1 |
Quadratic twists by: -4 8 |