Atkin-Lehner |
2- 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cy |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-212321894400 = -1 · 216 · 32 · 52 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-980,-25200] |
[a1,a2,a3,a4,a6] |
Generators |
[72:492:1] |
Generators of the group modulo torsion |
j |
-104094944089921/212321894400 |
j-invariant |
L |
12.279593437481 |
L(r)(E,1)/r! |
Ω |
0.4005825173898 |
Real period |
R |
0.95794818361477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bj1 |
Quadratic twists by: -3 |