Atkin-Lehner |
3+ 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835d |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
7988967993517520625 = 39 · 54 · 710 · 112 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-656979,-153187840] |
[a1,a2,a3,a4,a6] |
Generators |
[1856:69912:1] |
Generators of the group modulo torsion |
j |
1593262207932925347/405881623406875 |
j-invariant |
L |
7.2904143669707 |
L(r)(E,1)/r! |
Ω |
0.17084025169064 |
Real period |
R |
5.3342335123412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65835a1 |
Quadratic twists by: -3 |