Atkin-Lehner |
2- 3- 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650dm |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-20679770700000000 = -1 · 28 · 32 · 58 · 172 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 1 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2183888,1242043392] |
[a1,a2,a3,a4,a6] |
Generators |
[952:4624:1] |
Generators of the group modulo torsion |
j |
-2948864218148061985/52940212992 |
j-invariant |
L |
13.521492467546 |
L(r)(E,1)/r! |
Ω |
0.35253139040802 |
Real period |
R |
0.39953571150786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650a1 |
Quadratic twists by: 5 |