Atkin-Lehner |
2- 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956ba |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-961895088 = -1 · 24 · 38 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,215,944] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] [-1:27:1] |
Generators of the group modulo torsion |
j |
1395408896/1226907 |
j-invariant |
L |
11.053449646171 |
L(r)(E,1)/r! |
Ω |
1.0197474689122 |
Real period |
R |
0.45164162294457 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956a1 |
Quadratic twists by: -7 |