Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200cf |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-256901120000000000 = -1 · 229 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -5 -6 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287500,-64150000] |
[a1,a2,a3,a4,a6] |
j |
-1026590625/100352 |
j-invariant |
L |
3.2806301030563 |
L(r)(E,1)/r! |
Ω |
0.10251969072051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200ba1 2800r1 100800mn1 11200dj1 |
Quadratic twists by: -4 8 -3 5 |