Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840d |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2242969600 = -1 · 216 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,2465] |
[a1,a2,a3,a4,a6] |
Generators |
[1:48:1] |
Generators of the group modulo torsion |
j |
-7086244/34225 |
j-invariant |
L |
6.6258266341857 |
L(r)(E,1)/r! |
Ω |
1.2673274199896 |
Real period |
R |
1.3070471232762 |
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 |
11840ba2 1480c2 106560cq2 59200bg2 |
Quadratic twists by: -4 8 -3 5 |