Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73260q |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-39520839600 = -1 · 24 · 38 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,8593] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-135:1] [-4:81:1] |
Generators of the group modulo torsion |
j |
1129201664/3388275 |
j-invariant |
L |
9.2891905157639 |
L(r)(E,1)/r! |
Ω |
0.80999880712304 |
Real period |
R |
0.95567944401773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420m1 |
Quadratic twists by: -3 |