Atkin-Lehner |
3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
819b |
Isogeny class |
Conductor |
819 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
2457 = 33 · 7 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
421875/91 |
j-invariant |
L |
1.5410481141703 |
L(r)(E,1)/r! |
Ω |
4.3270924952156 |
Real period |
R |
0.71227879499881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104bj1 52416m1 819a1 20475i1 |
Quadratic twists by: -4 8 -3 5 |