Atkin-Lehner |
3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
7725c |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-580047075 = -1 · 37 · 52 · 1032 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 0 -1 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,97,-1132] |
[a1,a2,a3,a4,a6] |
j |
3995893760/23201883 |
j-invariant |
L |
1.6368056211724 |
L(r)(E,1)/r! |
Ω |
0.81840281058618 |
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 |
123600bx1 23175m1 7725l1 |
Quadratic twists by: -4 -3 5 |