Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6105i |
Isogeny class |
Conductor |
6105 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-6648345 = -1 · 33 · 5 · 113 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- -2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39,151] |
[a1,a2,a3,a4,a6] |
Generators |
[11:27:1] |
Generators of the group modulo torsion |
j |
-6321363049/6648345 |
j-invariant |
L |
5.0647199681094 |
L(r)(E,1)/r! |
Ω |
2.1558931569993 |
Real period |
R |
0.26102715772173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97680x1 18315n1 30525k1 67155h1 |
Quadratic twists by: -4 -3 5 -11 |