Atkin-Lehner |
5- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
48925d |
Isogeny class |
Conductor |
48925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-244625 = -1 · 53 · 19 · 103 |
Discriminant |
Eigenvalues |
1 -1 5- -5 1 7 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-5:1] |
Generators of the group modulo torsion |
j |
753571/1957 |
j-invariant |
L |
3.1687183312105 |
L(r)(E,1)/r! |
Ω |
2.1859038948133 |
Real period |
R |
0.72480732999676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48925c1 |
Quadratic twists by: 5 |