Atkin-Lehner |
2+ 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23856g |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-332628121147392 = -1 · 211 · 33 · 75 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 0 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11432,-999468] |
[a1,a2,a3,a4,a6] |
j |
-80686039032146/162416074779 |
j-invariant |
L |
2.602346693258 |
L(r)(E,1)/r! |
Ω |
0.21686222443816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11928b1 95424bk1 71568m1 |
Quadratic twists by: -4 8 -3 |