Atkin-Lehner |
2- 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
111622j |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
7380788198147883008 = 224 · 78 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4483240,-3650267029] |
[a1,a2,a3,a4,a6] |
Generators |
[4589:266777:1] |
Generators of the group modulo torsion |
j |
84705448551792818625/62735664545792 |
j-invariant |
L |
9.5161617934182 |
L(r)(E,1)/r! |
Ω |
0.10375782834248 |
Real period |
R |
3.8214633597057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15946f1 |
Quadratic twists by: -7 |