Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880ct |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-93710479564800 = -1 · 213 · 313 · 52 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10120,605300] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3240:1] |
Generators of the group modulo torsion |
j |
-27986475935881/22878535050 |
j-invariant |
L |
9.6515838579958 |
L(r)(E,1)/r! |
Ω |
0.55145388241624 |
Real period |
R |
0.16828912427693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8610d1 |
Quadratic twists by: -4 |