Atkin-Lehner |
2- 3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956b |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4247712 |
Modular degree for the optimal curve |
Δ |
-4400119915212688128 = -1 · 28 · 32 · 78 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11+ 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2070805,-1150724399] |
[a1,a2,a3,a4,a6] |
Generators |
[2287:77910:1] |
Generators of the group modulo torsion |
j |
-665452791463936/2981537163 |
j-invariant |
L |
4.5034062734343 |
L(r)(E,1)/r! |
Ω |
0.062909802184539 |
Real period |
R |
3.9769516060413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999432219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956z1 |
Quadratic twists by: -7 |