Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850fd |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
23054625000 = 23 · 36 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-830,5797] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:101:1] |
Generators of the group modulo torsion |
j |
5545233/2024 |
j-invariant |
L |
12.844942931676 |
L(r)(E,1)/r! |
Ω |
1.1003547428996 |
Real period |
R |
1.9455760410637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650a1 4554n1 |
Quadratic twists by: -3 5 |