Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200c |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-35000000 = -1 · 26 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,613] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:25:1] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
5.4035019342401 |
L(r)(E,1)/r! |
Ω |
2.0005204577378 |
Real period |
R |
1.3505240382171 |
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 |
11200cn1 175b1 100800dw1 2240m1 |
Quadratic twists by: -4 8 -3 5 |