Atkin-Lehner |
3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565d |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-12924963601605 = -1 · 33 · 5 · 117 · 173 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 11- 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19080,1033841] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-161:1] [-8:1093:1] |
Generators of the group modulo torsion |
j |
-16060229667/270215 |
j-invariant |
L |
11.598826849689 |
L(r)(E,1)/r! |
Ω |
0.71077347927984 |
Real period |
R |
2.0398247803142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565s1 8415e1 |
Quadratic twists by: -3 -11 |