Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956bc |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3773952 |
Modular degree for the optimal curve |
Δ |
-1.4804413948211E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111589,585539975] |
[a1,a2,a3,a4,a6] |
Generators |
[713:29478:1] |
Generators of the group modulo torsion |
j |
-5102271397888/4915446963867 |
j-invariant |
L |
6.1276524526368 |
L(r)(E,1)/r! |
Ω |
0.14781599314043 |
Real period |
R |
0.98701422640962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999209763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2244a1 |
Quadratic twists by: -7 |