Atkin-Lehner |
3- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14319a |
Isogeny class |
Conductor |
14319 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-79348065507 = -1 · 36 · 372 · 433 |
Discriminant |
Eigenvalues |
2 3- 2 -4 5 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-639,-14911] |
[a1,a2,a3,a4,a6] |
Generators |
[818:7951:8] |
Generators of the group modulo torsion |
j |
-39582093312/108845083 |
j-invariant |
L |
9.8375149281642 |
L(r)(E,1)/r! |
Ω |
0.44050008300768 |
Real period |
R |
1.8610505248555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1591a1 |
Quadratic twists by: -3 |