Atkin-Lehner |
2- 3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906be |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-6096573054 = -1 · 2 · 310 · 11 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11+ 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1121,-14641] |
[a1,a2,a3,a4,a6] |
Generators |
[91110:749779:1000] |
Generators of the group modulo torsion |
j |
-213525509833/8362926 |
j-invariant |
L |
11.0935721424 |
L(r)(E,1)/r! |
Ω |
0.41162548269148 |
Real period |
R |
6.7376611804017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16302k1 |
Quadratic twists by: -3 |