Atkin-Lehner |
5- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
25175f |
Isogeny class |
Conductor |
25175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1216 |
Modular degree for the optimal curve |
Δ |
-125875 = -1 · 53 · 19 · 53 |
Discriminant |
Eigenvalues |
-1 0 5- 0 3 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
132651/1007 |
j-invariant |
L |
3.0438109464091 |
L(r)(E,1)/r! |
Ω |
1.6403725698332 |
Real period |
R |
0.92778037208905 |
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 |
25175d1 |
Quadratic twists by: 5 |