Atkin-Lehner |
3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355h |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-4226625 = -1 · 32 · 53 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -1 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40,122] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] [2:-9:1] |
Generators of the group modulo torsion |
j |
-24529249/14625 |
j-invariant |
L |
5.21799463442 |
L(r)(E,1)/r! |
Ω |
2.2814941075317 |
Real period |
R |
0.38118256344937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56355p1 |
Quadratic twists by: 17 |