Atkin-Lehner |
3+ 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583a |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497280 |
Modular degree for the optimal curve |
Δ |
-6215468301652491 = -1 · 310 · 78 · 19 · 312 |
Discriminant |
Eigenvalues |
0 3+ -3 7+ -4 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,13263,-3751693] |
[a1,a2,a3,a4,a6] |
Generators |
[327:-5954:1] |
Generators of the group modulo torsion |
j |
44754010112/1078175691 |
j-invariant |
L |
1.8079663567557 |
L(r)(E,1)/r! |
Ω |
0.20542958166052 |
Real period |
R |
0.73340879845175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86583ba1 |
Quadratic twists by: -7 |