Atkin-Lehner |
7+ 31+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
101773a |
Isogeny class |
Conductor |
101773 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
72912 |
Modular degree for the optimal curve |
Δ |
-11973491677 = -1 · 78 · 31 · 67 |
Discriminant |
Eigenvalues |
1 2 0 7+ -2 7 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,465,-3394] |
[a1,a2,a3,a4,a6] |
j |
1922375/2077 |
j-invariant |
L |
2.7465434728095 |
L(r)(E,1)/r! |
Ω |
0.68663578446446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101773i1 |
Quadratic twists by: -7 |