Atkin-Lehner |
3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239l |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-8257730733 = -1 · 36 · 72 · 19 · 233 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -5 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27,4374] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:33:1] [6:-72:1] |
Generators of the group modulo torsion |
j |
44321375/168525117 |
j-invariant |
L |
7.5323448718329 |
L(r)(E,1)/r! |
Ω |
1.0295077674445 |
Real period |
R |
0.40646959374561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64239b1 |
Quadratic twists by: -7 |