Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2842a |
Isogeny class |
Conductor |
2842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-34751880690688 = -1 · 210 · 79 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14807,-745571] |
[a1,a2,a3,a4,a6] |
j |
-3051779837625/295386112 |
j-invariant |
L |
0.86085684017081 |
L(r)(E,1)/r! |
Ω |
0.2152142100427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22736u1 90944bj1 25578bq1 71050br1 |
Quadratic twists by: -4 8 -3 5 |