Atkin-Lehner |
3+ 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835c |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-1537587272344921875 = -1 · 33 · 58 · 78 · 113 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11+ 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,252897,34102883] |
[a1,a2,a3,a4,a6] |
Generators |
[-942:13121:8] |
Generators of the group modulo torsion |
j |
66250777682486366208/56947676753515625 |
j-invariant |
L |
12.398463681119 |
L(r)(E,1)/r! |
Ω |
0.1739797435159 |
Real period |
R |
2.2269948339774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65835f1 |
Quadratic twists by: -3 |