Atkin-Lehner |
3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6327d |
Isogeny class |
Conductor |
6327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-18962019 = -1 · 36 · 19 · 372 |
Discriminant |
Eigenvalues |
2 3- 3 3 1 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9,209] |
[a1,a2,a3,a4,a6] |
j |
110592/26011 |
j-invariant |
L |
6.7238431948415 |
L(r)(E,1)/r! |
Ω |
1.6809607987104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101232be1 703b1 120213i1 |
Quadratic twists by: -4 -3 -19 |