Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120ch |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1747172851200000 = -1 · 212 · 34 · 55 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29715,406683] |
[a1,a2,a3,a4,a6] |
Generators |
[261:5100:1] |
Generators of the group modulo torsion |
j |
708396411497984/426555871875 |
j-invariant |
L |
8.0602549919173 |
L(r)(E,1)/r! |
Ω |
0.28904612505786 |
Real period |
R |
0.23238087549419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57120bt1 114240fe1 |
Quadratic twists by: -4 8 |