Atkin-Lehner |
3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025d |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7483392 |
Modular degree for the optimal curve |
Δ |
95386962890625 = 3 · 513 · 7 · 612 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3179565438,69006726678906] |
[a1,a2,a3,a4,a6] |
j |
227513404230478843268782269721/6104765625 |
j-invariant |
L |
1.1535965201557 |
L(r)(E,1)/r! |
Ω |
0.14419956501979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96075v1 6405l1 |
Quadratic twists by: -3 5 |