Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ev |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-146279772979200 = -1 · 219 · 313 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17580,1069360] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:972:1] |
Generators of the group modulo torsion |
j |
-125768785/30618 |
j-invariant |
L |
7.5252974204359 |
L(r)(E,1)/r! |
Ω |
0.55240148253227 |
Real period |
R |
1.7028596193031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800lk1 3150bj1 33600cu1 100800gk1 |
Quadratic twists by: -4 8 -3 5 |