Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176j |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-134079860328192 = -1 · 28 · 316 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66999,6698198] |
[a1,a2,a3,a4,a6] |
Generators |
[1058:3105:8] |
Generators of the group modulo torsion |
j |
-14647977776/59049 |
j-invariant |
L |
7.7445390162579 |
L(r)(E,1)/r! |
Ω |
0.58664387446106 |
Real period |
R |
3.3003579140553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38088e1 25392d1 76176v1 |
Quadratic twists by: -4 -3 -23 |