Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050je |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
2021760 |
Modular degree for the optimal curve |
Δ |
-258473388550781250 = -1 · 2 · 313 · 59 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-537138,-153528858] |
[a1,a2,a3,a4,a6] |
j |
-72521367806261/1093705578 |
j-invariant |
L |
6.8715278281329 |
L(r)(E,1)/r! |
Ω |
0.088096530378412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050bt1 127050dw1 |
Quadratic twists by: 5 -11 |