Atkin-Lehner |
3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565l |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
287232 |
Modular degree for the optimal curve |
Δ |
676436243855625 = 33 · 54 · 119 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34689,-2140352] |
[a1,a2,a3,a4,a6] |
Generators |
[6766:188107:8] |
Generators of the group modulo torsion |
j |
72511713/10625 |
j-invariant |
L |
9.1656403801639 |
L(r)(E,1)/r! |
Ω |
0.35325045899038 |
Real period |
R |
6.4866443550679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92565a1 92565k1 |
Quadratic twists by: -3 -11 |