Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600ce |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-2595006720000000 = -1 · 214 · 39 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181408,-29900812] |
[a1,a2,a3,a4,a6] |
j |
-10316097499609/40546980 |
j-invariant |
L |
4.1629935541873 |
L(r)(E,1)/r! |
Ω |
0.11563866945167 |
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 |
15450s1 24720g1 |
Quadratic twists by: -4 5 |