Atkin-Lehner |
3- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25641f |
Isogeny class |
Conductor |
25641 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1032571259658477 = 38 · 74 · 116 · 37 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38462,-2447800] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:720:1] |
Generators of the group modulo torsion |
j |
8631398911361689/1416421481013 |
j-invariant |
L |
2.0010615568353 |
L(r)(E,1)/r! |
Ω |
0.3447055667553 |
Real period |
R |
1.4512831745591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547e2 |
Quadratic twists by: -3 |