Atkin-Lehner |
11- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
109021i |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
1596176461 = 116 · 17 · 53 |
Discriminant |
Eigenvalues |
2 -1 3 -2 11- 7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-524,4377] |
[a1,a2,a3,a4,a6] |
Generators |
[3720:15111:512] |
Generators of the group modulo torsion |
j |
8998912/901 |
j-invariant |
L |
13.541201127965 |
L(r)(E,1)/r! |
Ω |
1.4589826576135 |
Real period |
R |
4.640631300411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901f1 |
Quadratic twists by: -11 |