Atkin-Lehner |
5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46225a |
Isogeny class |
Conductor |
46225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-1242296875 = -1 · 56 · 433 |
Discriminant |
Eigenvalues |
0 0 5+ 0 -1 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21500,1213406] |
[a1,a2,a3,a4,a6] |
Generators |
[86:21:1] |
Generators of the group modulo torsion |
j |
-884736000 |
j-invariant |
L |
2.8402856077302 |
L(r)(E,1)/r! |
Ω |
1.292689265303 |
Real period |
R |
0.54929782507932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1849a1 46225a2 |
Quadratic twists by: 5 -43 |