Atkin-Lehner |
2- 3+ 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650cq |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
494400 |
Modular degree for the optimal curve |
Δ |
-750229721088000 = -1 · 215 · 3 · 53 · 175 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26383,-2122219] |
[a1,a2,a3,a4,a6] |
Generators |
[355:5602:1] |
Generators of the group modulo torsion |
j |
-16247526737564933/6001837768704 |
j-invariant |
L |
6.9113667549116 |
L(r)(E,1)/r! |
Ω |
0.18390776061877 |
Real period |
R |
0.25053743413278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650bk1 |
Quadratic twists by: 5 |