Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760bx |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
12 |
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 |
[65:520:1] |
Generators of the group modulo torsion |
j |
-941192/232375 |
j-invariant |
L |
9.0729591332003 |
L(r)(E,1)/r! |
Ω |
0.5891005662774 |
Real period |
R |
1.2834479731423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760bs1 22880d1 |
Quadratic twists by: -4 8 |