Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200g |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-172480000000 = -1 · 212 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1367,-4137] |
[a1,a2,a3,a4,a6] |
Generators |
[23:200:1] |
Generators of the group modulo torsion |
j |
4410944/2695 |
j-invariant |
L |
4.1123297126661 |
L(r)(E,1)/r! |
Ω |
0.58894522506217 |
Real period |
R |
0.87281666455855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200cg1 61600bj1 24640v1 |
Quadratic twists by: -4 8 5 |