Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
128772i |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-133591549594551552 = -1 · 28 · 311 · 79 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,107457,11198950] |
[a1,a2,a3,a4,a6] |
j |
6249886256/6084477 |
j-invariant |
L |
2.5904495183985 |
L(r)(E,1)/r! |
Ω |
0.21587056802373 |
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 |
42924f1 18396j1 |
Quadratic twists by: -3 -7 |