Atkin-Lehner |
2- 3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956a |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-113165995208112 = -1 · 24 · 38 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10519,-302742] |
[a1,a2,a3,a4,a6] |
Generators |
[27:15:1] |
Generators of the group modulo torsion |
j |
1395408896/1226907 |
j-invariant |
L |
8.3267927920298 |
L(r)(E,1)/r! |
Ω |
0.32572241533892 |
Real period |
R |
4.2606794348621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956ba1 |
Quadratic twists by: -7 |