Atkin-Lehner |
3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565o |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-590101875 = -1 · 33 · 54 · 112 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 11- -6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,198,-465] |
[a1,a2,a3,a4,a6] |
Generators |
[23:127:1] [5:25:1] |
Generators of the group modulo torsion |
j |
262766592/180625 |
j-invariant |
L |
9.0070462020217 |
L(r)(E,1)/r! |
Ω |
0.92363203282823 |
Real period |
R |
0.60948556090513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565c1 92565m1 |
Quadratic twists by: -3 -11 |