Atkin-Lehner |
2- 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98900o |
Isogeny class |
Conductor |
98900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
52128 |
Modular degree for the optimal curve |
Δ |
-3639520000 = -1 · 28 · 54 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -3 3 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200,-3100] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-230:1] |
Generators of the group modulo torsion |
j |
-5529600/22747 |
j-invariant |
L |
3.7182012511036 |
L(r)(E,1)/r! |
Ω |
0.5784707765031 |
Real period |
R |
0.35709104934921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999793323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98900m1 |
Quadratic twists by: 5 |