Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200k |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-3575486956000000 = -1 · 28 · 56 · 197 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 -3 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12033,-2925437] |
[a1,a2,a3,a4,a6] |
Generators |
[177:722:1] [219:2234:1] |
Generators of the group modulo torsion |
j |
-1024/19 |
j-invariant |
L |
7.855597791539 |
L(r)(E,1)/r! |
Ω |
0.19121306670952 |
Real period |
R |
2.5676846798206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2888f1 3800c1 |
Quadratic twists by: 5 -19 |