Atkin-Lehner |
2+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176u |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1191936 |
Modular degree for the optimal curve |
Δ |
-184159305728 = -1 · 222 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ 3 -2 -3 -3 -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-533356,-149924944] |
[a1,a2,a3,a4,a6] |
j |
-64008160346804913/702512 |
j-invariant |
L |
3.1799313260185 |
L(r)(E,1)/r! |
Ω |
0.08833143023674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bi1 3818e1 |
Quadratic twists by: -4 8 |