Atkin-Lehner |
2+ 3- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6438d |
Isogeny class |
Conductor |
6438 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6864 |
Modular degree for the optimal curve |
Δ |
-1720645632 = -1 · 211 · 33 · 292 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 3 -1 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1900,-32086] |
[a1,a2,a3,a4,a6] |
j |
-757976769362233/1720645632 |
j-invariant |
L |
2.1692056488024 |
L(r)(E,1)/r! |
Ω |
0.3615342748004 |
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 |
51504f1 19314r1 |
Quadratic twists by: -4 -3 |