Atkin-Lehner |
5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25175d |
Isogeny class |
Conductor |
25175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6080 |
Modular degree for the optimal curve |
Δ |
-1966796875 = -1 · 59 · 19 · 53 |
Discriminant |
Eigenvalues |
1 0 5- 0 3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,133,-2084] |
[a1,a2,a3,a4,a6] |
j |
132651/1007 |
j-invariant |
L |
1.467193829829 |
L(r)(E,1)/r! |
Ω |
0.73359691491463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25175f1 |
Quadratic twists by: 5 |