Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760bo |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1949302784000 = -1 · 223 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11+ 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59905,-5623903] |
[a1,a2,a3,a4,a6] |
Generators |
[469:-8320:1] |
Generators of the group modulo torsion |
j |
-90694355177089/7436000 |
j-invariant |
L |
4.0725078810761 |
L(r)(E,1)/r! |
Ω |
0.15258120851797 |
Real period |
R |
1.1121148536323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760u1 11440l1 |
Quadratic twists by: -4 8 |