Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fj |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-3.0274145507813E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-661575,-862373500] |
[a1,a2,a3,a4,a6] |
Generators |
[108511599334075136:4179508301660215986:53672224156361] |
Generators of the group modulo torsion |
j |
-43927191786304/415283203125 |
j-invariant |
L |
8.1480925000881 |
L(r)(E,1)/r! |
Ω |
0.073067996191535 |
Real period |
R |
27.878458820454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ed1 50400bq2 33600bb1 20160bc1 |
Quadratic twists by: -4 8 -3 5 |