Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73644n |
Isogeny class |
Conductor |
73644 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
-7109455357466928 = -1 · 24 · 34 · 17 · 199 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18291,-3937320] |
[a1,a2,a3,a4,a6] |
j |
131072/1377 |
j-invariant |
L |
3.7206320844347 |
L(r)(E,1)/r! |
Ω |
0.20670178218148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73644d1 |
Quadratic twists by: -19 |