Atkin-Lehner |
3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7725j |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-245863575 = -1 · 32 · 52 · 1033 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 2 -7 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-381,2923] |
[a1,a2,a3,a4,a6] |
j |
-243735630385/9834543 |
j-invariant |
L |
3.4831840101595 |
L(r)(E,1)/r! |
Ω |
1.7415920050798 |
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 |
123600bg1 23175k1 7725h1 |
Quadratic twists by: -4 -3 5 |