Atkin-Lehner |
2- 3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
45264o |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
294693686562816 = 212 · 33 · 23 · 415 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -4 0 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-837941,-295513629] |
[a1,a2,a3,a4,a6] |
Generators |
[-336490738:21064431:636056] |
Generators of the group modulo torsion |
j |
15885635914127540224/71946700821 |
j-invariant |
L |
5.7413057621942 |
L(r)(E,1)/r! |
Ω |
0.15779610148734 |
Real period |
R |
12.128110703388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2829b1 |
Quadratic twists by: -4 |