Atkin-Lehner |
2- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46144r |
Isogeny class |
Conductor |
46144 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-907605966848 = -1 · 219 · 75 · 103 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 4 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-929,47425] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:224:1] |
Generators of the group modulo torsion |
j |
-338608873/3462242 |
j-invariant |
L |
3.737554771075 |
L(r)(E,1)/r! |
Ω |
0.75468246908213 |
Real period |
R |
0.24762432706442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46144b1 11536h1 |
Quadratic twists by: -4 8 |