Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312f |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1337491456 = -1 · 215 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ -4 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-1793] |
[a1,a2,a3,a4,a6] |
Generators |
[17:48:1] |
Generators of the group modulo torsion |
j |
-392/17 |
j-invariant |
L |
3.4196845044803 |
L(r)(E,1)/r! |
Ω |
0.66682130275237 |
Real period |
R |
2.5641686089239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312d1 26656a1 53312y1 |
Quadratic twists by: -4 8 -7 |