Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
28700d |
Isogeny class |
Conductor |
28700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-147087500000000 = -1 · 28 · 511 · 7 · 412 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 -3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-287133,-59127863] |
[a1,a2,a3,a4,a6] |
j |
-654507396653056/36771875 |
j-invariant |
L |
1.2374522166471 |
L(r)(E,1)/r! |
Ω |
0.103121018054 |
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 |
114800bh1 5740c1 |
Quadratic twists by: -4 5 |