Atkin-Lehner |
2+ 3+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101016b |
Isogeny class |
Conductor |
101016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
56556029952 = 211 · 39 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -1 3 4 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,-8370] |
[a1,a2,a3,a4,a6] |
j |
3721734/1403 |
j-invariant |
L |
1.7084561286307 |
L(r)(E,1)/r! |
Ω |
0.85422779898623 |
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 |
101016i1 |
Quadratic twists by: -3 |