Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2842a |
Isogeny class |
Conductor |
2842 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12844714522528 = 25 · 712 · 29 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242167,-45808323] |
[a1,a2,a3,a4,a6] |
j |
13350003080765625/109178272 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22736u2 90944bj2 25578bq2 71050br2 |
Quadratic twists by: -4 8 -3 5 |