Atkin-Lehner |
3+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835a |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
10958803831985625 = 33 · 54 · 710 · 112 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72998,5697956] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1207:1] |
Generators of the group modulo torsion |
j |
1593262207932925347/405881623406875 |
j-invariant |
L |
3.2387278242424 |
L(r)(E,1)/r! |
Ω |
0.37884334280019 |
Real period |
R |
2.1372474174567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65835d1 |
Quadratic twists by: -3 |