Atkin-Lehner |
2- 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176z |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-2180793465600768 = -1 · 28 · 313 · 194 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 5 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8123160,8911188668] |
[a1,a2,a3,a4,a6] |
Generators |
[1646:38:1] |
Generators of the group modulo torsion |
j |
-317637113714234368000/11685493107 |
j-invariant |
L |
5.8589954372623 |
L(r)(E,1)/r! |
Ω |
0.3419532880585 |
Real period |
R |
1.0708691162481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28044b1 37392l1 |
Quadratic twists by: -4 -3 |