Atkin-Lehner |
2- 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650ci |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
608 |
Product of Tamagawa factors cp |
deg |
758784 |
Modular degree for the optimal curve |
Δ |
-121201090560000000 = -1 · 219 · 38 · 57 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-156338,29084292] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2614:1] |
Generators of the group modulo torsion |
j |
-27045655709726809/7756869795840 |
j-invariant |
L |
10.454645855941 |
L(r)(E,1)/r! |
Ω |
0.31400096905699 |
Real period |
R |
0.054761427204689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530a1 |
Quadratic twists by: 5 |