Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bn |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-6339095327664 = -1 · 24 · 310 · 113 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2076,115535] |
[a1,a2,a3,a4,a6] |
Generators |
[73:810:1] |
Generators of the group modulo torsion |
j |
84831715328/543475251 |
j-invariant |
L |
8.4510613651594 |
L(r)(E,1)/r! |
Ω |
0.54598294375123 |
Real period |
R |
2.5797696488707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28116d1 37488m1 |
Quadratic twists by: -4 -3 |