Atkin-Lehner |
3+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6327a |
Isogeny class |
Conductor |
6327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
511974513 = 39 · 19 · 372 |
Discriminant |
Eigenvalues |
1 3+ 0 0 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14622,684215] |
[a1,a2,a3,a4,a6] |
Generators |
[1780:34075:64] |
Generators of the group modulo torsion |
j |
17565861949875/26011 |
j-invariant |
L |
4.8749308921256 |
L(r)(E,1)/r! |
Ω |
1.4048146401315 |
Real period |
R |
3.4701595163255 |
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 |
101232m1 6327b1 120213b1 |
Quadratic twists by: -4 -3 -19 |