Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97284q |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-113371372162224 = -1 · 24 · 34 · 117 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23877,1501740] |
[a1,a2,a3,a4,a6] |
Generators |
[21:1005:1] |
Generators of the group modulo torsion |
j |
-53113520128/3999699 |
j-invariant |
L |
10.912610177625 |
L(r)(E,1)/r! |
Ω |
0.58108192273688 |
Real period |
R |
1.5649844630973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8844e1 |
Quadratic twists by: -11 |