Atkin-Lehner |
2+ 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254t |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-8563012346196 = -1 · 22 · 32 · 78 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4338,-179000] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1541:1] |
Generators of the group modulo torsion |
j |
-1565539801/1485396 |
j-invariant |
L |
7.3929259958584 |
L(r)(E,1)/r! |
Ω |
0.28314675239248 |
Real period |
R |
0.72527427327999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254m1 |
Quadratic twists by: -7 |