Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488db |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-3085851867660288 = -1 · 214 · 33 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 2 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32753,-3503151] |
[a1,a2,a3,a4,a6] |
Generators |
[188855:7281644:125] |
Generators of the group modulo torsion |
j |
-34000/27 |
j-invariant |
L |
6.3226331209464 |
L(r)(E,1)/r! |
Ω |
0.17159922842898 |
Real period |
R |
6.1408911710961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488bw1 13872q1 55488dh1 |
Quadratic twists by: -4 8 17 |