Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350cm |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2634240 |
Modular degree for the optimal curve |
Δ |
-5.3262043419851E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1974843,302650101] |
[a1,a2,a3,a4,a6] |
Generators |
[1599:86073:1] |
Generators of the group modulo torsion |
j |
9347248137604569499/5844943036471968 |
j-invariant |
L |
3.908783512888 |
L(r)(E,1)/r! |
Ω |
0.10198768141017 |
Real period |
R |
0.22813116451094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450cu1 64350ff1 |
Quadratic twists by: -3 5 |