Atkin-Lehner |
2- 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176bd |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
2.1931189531794E+21 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6007827,-5200839470] |
[a1,a2,a3,a4,a6] |
Generators |
[-1441:21546:1] |
Generators of the group modulo torsion |
j |
8031348859045152529/734471100039168 |
j-invariant |
L |
5.3518716071924 |
L(r)(E,1)/r! |
Ω |
0.096996159160303 |
Real period |
R |
2.2990049402112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14022d1 37392s1 |
Quadratic twists by: -4 -3 |