Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176g |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-12690686368512 = -1 · 28 · 311 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 6 -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82524,-9126308] |
[a1,a2,a3,a4,a6] |
Generators |
[475427867420321091:7554728104017459907:1012380745726531] |
Generators of the group modulo torsion |
j |
-1190106112/243 |
j-invariant |
L |
8.3061692508161 |
L(r)(E,1)/r! |
Ω |
0.14083778026295 |
Real period |
R |
29.48842716531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38088u1 25392n1 76176r1 |
Quadratic twists by: -4 -3 -23 |