Atkin-Lehner |
2- 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
127260l |
Isogeny class |
Conductor |
127260 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-206161200 = -1 · 24 · 36 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-691] |
[a1,a2,a3,a4,a6] |
Generators |
[215:3152:1] |
Generators of the group modulo torsion |
j |
-16384/17675 |
j-invariant |
L |
8.6770567007235 |
L(r)(E,1)/r! |
Ω |
0.80398114604135 |
Real period |
R |
5.3963060823018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14140b1 |
Quadratic twists by: -3 |