Atkin-Lehner |
2+ 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946d |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
649152 |
Modular degree for the optimal curve |
Δ |
-273918424025923584 = -1 · 223 · 3 · 174 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 5 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-626413,192220189] |
[a1,a2,a3,a4,a6] |
j |
-325470323944326169/3279635349504 |
j-invariant |
L |
1.8645480410751 |
L(r)(E,1)/r! |
Ω |
0.3107580068458 |
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 |
98838bq1 32946f1 |
Quadratic twists by: -3 17 |