Atkin-Lehner |
2+ 37- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
6142a |
Isogeny class |
Conductor |
6142 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
16816796 = 22 · 373 · 83 |
Discriminant |
Eigenvalues |
2+ -2 3 2 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-102,332] |
[a1,a2,a3,a4,a6] |
j |
115714886617/16816796 |
j-invariant |
L |
1.4045445060334 |
L(r)(E,1)/r! |
Ω |
2.1068167590501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49136d1 55278i1 |
Quadratic twists by: -4 -3 |