Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208bh |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
4243083264 = 212 · 36 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 -7 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-485,2829] |
[a1,a2,a3,a4,a6] |
Generators |
[20:27:1] |
Generators of the group modulo torsion |
j |
62992384/21141 |
j-invariant |
L |
3.9534330583798 |
L(r)(E,1)/r! |
Ω |
1.2749249906626 |
Real period |
R |
1.550457119712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4263d1 68208cd1 |
Quadratic twists by: -4 -7 |