Atkin-Lehner |
2+ 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970n |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-27004028500295000 = -1 · 23 · 54 · 79 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2059152,-1138200776] |
[a1,a2,a3,a4,a6] |
j |
-8207313441539837689/229530455000 |
j-invariant |
L |
1.512370127649 |
L(r)(E,1)/r! |
Ω |
0.063015400574647 |
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 |
17710a1 |
Quadratic twists by: -7 |