Atkin-Lehner |
3+ 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835f |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
-1.1209011215394E+21 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11- 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2276073,-920777848] |
[a1,a2,a3,a4,a6] |
Generators |
[2322:129937:1] |
Generators of the group modulo torsion |
j |
66250777682486366208/56947676753515625 |
j-invariant |
L |
3.9396146293143 |
L(r)(E,1)/r! |
Ω |
0.085269119689662 |
Real period |
R |
0.12031803698331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65835c1 |
Quadratic twists by: -3 |