Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200w |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
1.588560093162E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19348875,-32702906250] |
[a1,a2,a3,a4,a6] |
Generators |
[-108548365254:98999543601:41421736] |
Generators of the group modulo torsion |
j |
172974204/343 |
j-invariant |
L |
7.8829121985155 |
L(r)(E,1)/r! |
Ω |
0.071992517576914 |
Real period |
R |
13.687033860204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200fg1 88200fe1 12600j1 |
Quadratic twists by: -3 5 -7 |