Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850ed |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
27256320 |
Modular degree for the optimal curve |
Δ |
-2.7016538141716E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 0 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53244545,169177111697] |
[a1,a2,a3,a4,a6] |
Generators |
[-7497:387076:1] |
Generators of the group modulo torsion |
j |
-915970586489983193158705/148238892409964961792 |
j-invariant |
L |
10.060497623174 |
L(r)(E,1)/r! |
Ω |
0.077927346888598 |
Real period |
R |
2.4827113573201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999468559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950bl1 113850cn1 |
Quadratic twists by: -3 5 |