Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gj |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-553852189711993536 = -1 · 26 · 314 · 77 · 133 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,91428,-34188338] |
[a1,a2,a3,a4,a6] |
Generators |
[647:17199:1] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
7.2967545505973 |
L(r)(E,1)/r! |
Ω |
0.14557972363408 |
Real period |
R |
1.1933822023304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416bw1 13104ca1 17472da1 |
Quadratic twists by: -4 8 -3 |