Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600bn |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-14016000000 = -1 · 212 · 3 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2533,-48563] |
[a1,a2,a3,a4,a6] |
Generators |
[1802522455764:107126051298703:510082399] |
Generators of the group modulo torsion |
j |
-28094464/219 |
j-invariant |
L |
7.2458591518695 |
L(r)(E,1)/r! |
Ω |
0.33631353552848 |
Real period |
R |
21.544952511303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5475i1 3504u1 |
Quadratic twists by: -4 5 |