Atkin-Lehner |
3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565c |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-430184266875 = -1 · 39 · 54 · 112 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 11- -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1782,12548] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:40:1] [16:-213:1] |
Generators of the group modulo torsion |
j |
262766592/180625 |
j-invariant |
L |
7.4969903710452 |
L(r)(E,1)/r! |
Ω |
0.59458377930897 |
Real period |
R |
1.5761005075602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565o1 92565i1 |
Quadratic twists by: -3 -11 |