Atkin-Lehner |
2+ 3+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176b |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
220762368 = 28 · 33 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,630] |
[a1,a2,a3,a4,a6] |
j |
98055792/31939 |
j-invariant |
L |
3.2688215674155 |
L(r)(E,1)/r! |
Ω |
1.6344105947266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56088b1 112176a1 |
Quadratic twists by: -4 -3 |