Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800a |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-121385779200 = -1 · 219 · 33 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,660,-15440] |
[a1,a2,a3,a4,a6] |
Generators |
[56:444:1] |
Generators of the group modulo torsion |
j |
179685/686 |
j-invariant |
L |
6.5154754772274 |
L(r)(E,1)/r! |
Ω |
0.5315111123916 |
Real period |
R |
3.0645998380198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800jl1 3150v1 100800b2 100800cf1 |
Quadratic twists by: -4 8 -3 5 |