Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100920g |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6236160 |
Modular degree for the optimal curve |
Δ |
-2.7200898704754E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 -5 1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1308876,-980300499] |
[a1,a2,a3,a4,a6] |
Generators |
[11126:1166875:1] [47946:1292617:27] |
Generators of the group modulo torsion |
j |
-1068359936/1171875 |
j-invariant |
L |
6.9994100236736 |
L(r)(E,1)/r! |
Ω |
0.067658273422101 |
Real period |
R |
12.931548628138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100920bp1 |
Quadratic twists by: 29 |