Atkin-Lehner |
2+ 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550bi |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
151040 |
Modular degree for the optimal curve |
Δ |
-4475835937500 = -1 · 22 · 3 · 59 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2549,-88702] |
[a1,a2,a3,a4,a6] |
Generators |
[558:4961:8] |
Generators of the group modulo torsion |
j |
938313739/2291628 |
j-invariant |
L |
4.8181742764595 |
L(r)(E,1)/r! |
Ω |
0.40046465451071 |
Real period |
R |
3.0078648777721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65550bw1 |
Quadratic twists by: 5 |