Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
65296f |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
3460688 = 24 · 7 · 11 · 532 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43,78] |
[a1,a2,a3,a4,a6] |
Generators |
[69762:103454:9261] |
Generators of the group modulo torsion |
j |
562432000/216293 |
j-invariant |
L |
9.4443775648386 |
L(r)(E,1)/r! |
Ω |
2.2820830874238 |
Real period |
R |
8.2769795862803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32648a1 |
Quadratic twists by: -4 |