Atkin-Lehner |
2- 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650cp |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
2790562500 = 22 · 32 · 56 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23238,-1365408] |
[a1,a2,a3,a4,a6] |
j |
88818021833113/178596 |
j-invariant |
L |
3.0934265671692 |
L(r)(E,1)/r! |
Ω |
0.386678319864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706c1 |
Quadratic twists by: 5 |