Atkin-Lehner |
3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3843c |
Isogeny class |
Conductor |
3843 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
15252867 = 36 · 73 · 61 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 5 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252,1593] |
[a1,a2,a3,a4,a6] |
j |
2433138625/20923 |
j-invariant |
L |
2.223904788343 |
L(r)(E,1)/r! |
Ω |
2.223904788343 |
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 |
61488bm1 427c1 96075be1 26901t1 |
Quadratic twists by: -4 -3 5 -7 |