Atkin-Lehner |
2- 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
54036l |
Isogeny class |
Conductor |
54036 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-25955666802918144 = -1 · 28 · 38 · 195 · 792 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 1 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103296,14945492] |
[a1,a2,a3,a4,a6] |
Generators |
[173:1501:1] |
Generators of the group modulo torsion |
j |
-653140676313088/139080004731 |
j-invariant |
L |
7.4714964699428 |
L(r)(E,1)/r! |
Ω |
0.36018044614148 |
Real period |
R |
1.0371879636958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18012d1 |
Quadratic twists by: -3 |