Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320y |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
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- -2 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-297,6696] |
[a1,a2,a3,a4,a6] |
Generators |
[1:80:1] |
Generators of the group modulo torsion |
j |
-2299968/14045 |
j-invariant |
L |
6.4393619750589 |
L(r)(E,1)/r! |
Ω |
1.0605297202087 |
Real period |
R |
3.0359177362064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320x1 76320c1 |
Quadratic twists by: -4 -3 |