Atkin-Lehner |
2- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760bs |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-7614464000 = -1 · 215 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- -5 11+ 13- -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,4225] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:40:1] [-13:52:1] |
Generators of the group modulo torsion |
j |
-941192/232375 |
j-invariant |
L |
7.1368899099352 |
L(r)(E,1)/r! |
Ω |
1.0742366854804 |
Real period |
R |
0.27682019887539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760bx1 22880e1 |
Quadratic twists by: -4 8 |