Atkin-Lehner |
3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32079a |
Isogeny class |
Conductor |
32079 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-4383363678958611 = -1 · 33 · 179 · 372 |
Discriminant |
Eigenvalues |
0 3+ -3 -2 -3 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,14643,3106640] |
[a1,a2,a3,a4,a6] |
Generators |
[278:5346:1] |
Generators of the group modulo torsion |
j |
14384365568/181599219 |
j-invariant |
L |
1.7547763085025 |
L(r)(E,1)/r! |
Ω |
0.32276831780083 |
Real period |
R |
1.3591608994174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96237g1 1887c1 |
Quadratic twists by: -3 17 |