Atkin-Lehner |
3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3843j |
Isogeny class |
Conductor |
3843 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
840 |
Modular degree for the optimal curve |
Δ |
311283 = 36 · 7 · 61 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 3 -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,-196] |
[a1,a2,a3,a4,a6] |
j |
47045881/427 |
j-invariant |
L |
1.6653683727433 |
L(r)(E,1)/r! |
Ω |
1.6653683727433 |
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 |
61488bi1 427b1 96075y1 26901n1 |
Quadratic twists by: -4 -3 5 -7 |