Atkin-Lehner |
3+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
51153b |
Isogeny class |
Conductor |
51153 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-460377 = -1 · 33 · 172 · 59 |
Discriminant |
Eigenvalues |
1 3+ 2 0 2 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14,33] |
[a1,a2,a3,a4,a6] |
Generators |
[16:57:1] |
Generators of the group modulo torsion |
j |
-1171657/1593 |
j-invariant |
L |
7.7099142527666 |
L(r)(E,1)/r! |
Ω |
2.6705340958826 |
Real period |
R |
2.8870308245413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51153c1 |
Quadratic twists by: 17 |