Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270bc |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
2240000 |
Modular degree for the optimal curve |
Δ |
9.7077064293792E+18 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-542083,33531518] |
[a1,a2,a3,a4,a6] |
Generators |
[-386:13805:1] |
Generators of the group modulo torsion |
j |
9944061759313921/5479747200000 |
j-invariant |
L |
7.5754382293542 |
L(r)(E,1)/r! |
Ω |
0.1995934362767 |
Real period |
R |
0.75908690840706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870i1 |
Quadratic twists by: -11 |