Atkin-Lehner |
5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
21725f |
Isogeny class |
Conductor |
21725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-13143625 = -1 · 53 · 113 · 79 |
Discriminant |
Eigenvalues |
-1 -2 5- -1 11- -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108,457] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:29:1] |
Generators of the group modulo torsion |
j |
-1115157653/105149 |
j-invariant |
L |
1.7816379726699 |
L(r)(E,1)/r! |
Ω |
2.1885376835162 |
Real period |
R |
0.13567948331352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21725e1 |
Quadratic twists by: 5 |