Atkin-Lehner |
3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3843d |
Isogeny class |
Conductor |
3843 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-4156828585028401401 = -1 · 315 · 73 · 615 |
Discriminant |
Eigenvalues |
1 3- -3 7+ -4 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-146601,100480986] |
[a1,a2,a3,a4,a6] |
j |
-477978815192585617/5702096824455969 |
j-invariant |
L |
0.41906800503054 |
L(r)(E,1)/r! |
Ω |
0.20953400251527 |
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 |
61488bq1 1281c1 96075bd1 26901u1 |
Quadratic twists by: -4 -3 5 -7 |