Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100905o |
Isogeny class |
Conductor |
100905 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
36560160 |
Modular degree for the optimal curve |
Δ |
3.0120737655669E+26 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 -5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-178646076,383925835125] |
[a1,a2,a3,a4,a6] |
Generators |
[-4725:1061865:1] |
Generators of the group modulo torsion |
j |
739282805626692289/353160442933515 |
j-invariant |
L |
4.2282115857069 |
L(r)(E,1)/r! |
Ω |
0.048639540170057 |
Real period |
R |
0.37149364812231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100905c1 |
Quadratic twists by: -31 |