Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cr |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-645918983990894592 = -1 · 213 · 36 · 112 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11- -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,214366,-6037855] |
[a1,a2,a3,a4,a6] |
Generators |
[385:-11745:1] |
Generators of the group modulo torsion |
j |
31764658463/18833408 |
j-invariant |
L |
11.2834489698 |
L(r)(E,1)/r! |
Ω |
0.16851251648195 |
Real period |
R |
0.64383764421562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942d1 3762j1 |
Quadratic twists by: -3 -19 |