Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ep |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-50155200 = -1 · 26 · 36 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 -1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1398,-20122] |
[a1,a2,a3,a4,a6] |
Generators |
[3076:9855:64] |
Generators of the group modulo torsion |
j |
-6476460544/1075 |
j-invariant |
L |
7.9836669318494 |
L(r)(E,1)/r! |
Ω |
0.39038079253089 |
Real period |
R |
5.1127431778887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840fm1 61920ba1 13760r1 |
Quadratic twists by: -4 8 -3 |