Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920ce |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
174690561600 = 26 · 310 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5817,-169576] |
[a1,a2,a3,a4,a6] |
Generators |
[72184:965700:343] |
Generators of the group modulo torsion |
j |
466566337216/3744225 |
j-invariant |
L |
8.234078827441 |
L(r)(E,1)/r! |
Ω |
0.54693406505237 |
Real period |
R |
7.5274876386654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996935 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61920bz1 123840eu2 20640c1 |
Quadratic twists by: -4 8 -3 |