Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14535a |
Isogeny class |
Conductor |
14535 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-14084415 = -1 · 33 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-323,-2158] |
[a1,a2,a3,a4,a6] |
Generators |
[40:198:1] |
Generators of the group modulo torsion |
j |
-137627865747/521645 |
j-invariant |
L |
2.7505237174522 |
L(r)(E,1)/r! |
Ω |
0.56308699140226 |
Real period |
R |
2.4423612687292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14535c1 72675e1 |
Quadratic twists by: -3 5 |