Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320bi |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-17692655040 = -1 · 26 · 39 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87,-6392] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2160:1] |
Generators of the group modulo torsion |
j |
1560896/379215 |
j-invariant |
L |
6.7446628003234 |
L(r)(E,1)/r! |
Ω |
0.57824621437309 |
Real period |
R |
2.9159995481544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320bk1 25440v1 |
Quadratic twists by: -4 -3 |