Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312bb |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-157354532306944 = -1 · 215 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 4 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,-608609] |
[a1,a2,a3,a4,a6] |
Generators |
[31305:473684:125] |
Generators of the group modulo torsion |
j |
-392/17 |
j-invariant |
L |
4.1630799535479 |
L(r)(E,1)/r! |
Ω |
0.25203476228613 |
Real period |
R |
8.2589399887304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312y1 26656i1 53312d1 |
Quadratic twists by: -4 8 -7 |