Atkin-Lehner |
2+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334d |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1433781248 = -1 · 210 · 313 · 47 |
Discriminant |
Eigenvalues |
2+ 1 -2 -2 -2 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1152,15054] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:51:1] [18:-25:1] |
Generators of the group modulo torsion |
j |
-5668315687/48128 |
j-invariant |
L |
7.6677027408863 |
L(r)(E,1)/r! |
Ω |
1.523103496623 |
Real period |
R |
1.2585656125745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334e1 |
Quadratic twists by: -31 |