Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
104430v |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-116969758593750 = -1 · 2 · 36 · 58 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44765,-3701095] |
[a1,a2,a3,a4,a6] |
Generators |
[6054:156269:8] |
Generators of the group modulo torsion |
j |
-48304106148059/569531250 |
j-invariant |
L |
10.836074456326 |
L(r)(E,1)/r! |
Ω |
0.16399473109704 |
Real period |
R |
2.0648671107008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104430g1 |
Quadratic twists by: -59 |