Atkin-Lehner |
2+ 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450a |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3192000 |
Modular degree for the optimal curve |
Δ |
-3.7864451145744E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17323750,27747428500] |
[a1,a2,a3,a4,a6] |
Generators |
[64308:26390:27] |
Generators of the group modulo torsion |
j |
-36798443442923099464801/2423324873327616 |
j-invariant |
L |
2.6009858965051 |
L(r)(E,1)/r! |
Ω |
0.19475322585244 |
Real period |
R |
6.6776452228354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1938j1 |
Quadratic twists by: 5 |