Atkin-Lehner |
2+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117334j |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2007936 |
Modular degree for the optimal curve |
Δ |
-95755995377405608 = -1 · 23 · 74 · 172 · 297 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,95288,-9628920] |
[a1,a2,a3,a4,a6] |
Generators |
[4359:83182:27] |
Generators of the group modulo torsion |
j |
331080332624035991/331335624143272 |
j-invariant |
L |
4.8977648675578 |
L(r)(E,1)/r! |
Ω |
0.18367189876222 |
Real period |
R |
0.95235130824283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117334f1 |
Quadratic twists by: 17 |