Atkin-Lehner |
2- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600u |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-510400000000 = -1 · 212 · 58 · 11 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1992,3988] |
[a1,a2,a3,a4,a6] |
Generators |
[3:100:1] [23:250:1] |
Generators of the group modulo torsion |
j |
13651919/7975 |
j-invariant |
L |
8.0276598738404 |
L(r)(E,1)/r! |
Ω |
0.56180500016369 |
Real period |
R |
3.5722625601969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7975c1 25520p1 |
Quadratic twists by: -4 5 |