Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650ct |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
248064 |
Modular degree for the optimal curve |
Δ |
-490789601280000 = -1 · 219 · 34 · 54 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6462,1047492] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:990:1] |
Generators of the group modulo torsion |
j |
47746369578575/785263362048 |
j-invariant |
L |
12.294955260658 |
L(r)(E,1)/r! |
Ω |
0.38981678122671 |
Real period |
R |
0.20750226118571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650g1 |
Quadratic twists by: 5 |