Atkin-Lehner |
2- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
45650bc |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
351360 |
Modular degree for the optimal curve |
Δ |
-13080521042187500 = -1 · 22 · 58 · 114 · 833 |
Discriminant |
Eigenvalues |
2- -1 5- 0 11- -6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-76638,-9878969] |
[a1,a2,a3,a4,a6] |
Generators |
[901:25113:1] |
Generators of the group modulo torsion |
j |
-127437287602945/33486133868 |
j-invariant |
L |
6.3925141160136 |
L(r)(E,1)/r! |
Ω |
0.14152380529822 |
Real period |
R |
1.8820491313996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45650b1 |
Quadratic twists by: 5 |