Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650cw |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-259776000 = -1 · 29 · 32 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,77,737] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-31:1] |
Generators of the group modulo torsion |
j |
403583419/2078208 |
j-invariant |
L |
12.565367842001 |
L(r)(E,1)/r! |
Ω |
1.2577756364893 |
Real period |
R |
0.27750417918474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650r1 |
Quadratic twists by: 5 |