Atkin-Lehner |
3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93633d |
Isogeny class |
Conductor |
93633 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
596160 |
Modular degree for the optimal curve |
Δ |
-3368233787921091 = -1 · 36 · 238 · 59 |
Discriminant |
Eigenvalues |
0 3- -3 -1 -6 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,16223,-2671220] |
[a1,a2,a3,a4,a6] |
Generators |
[1018:9695:8] |
Generators of the group modulo torsion |
j |
6029312/43011 |
j-invariant |
L |
2.6435852574793 |
L(r)(E,1)/r! |
Ω |
0.22219162985184 |
Real period |
R |
5.9488857841005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004297 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
93633c1 |
Quadratic twists by: -23 |