Atkin-Lehner |
2+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46144d |
Isogeny class |
Conductor |
46144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-82690048 = -1 · 214 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,100,208] |
[a1,a2,a3,a4,a6] |
Generators |
[6:32:1] [48:340:1] |
Generators of the group modulo torsion |
j |
6750000/5047 |
j-invariant |
L |
9.2678933875692 |
L(r)(E,1)/r! |
Ω |
1.2279848912266 |
Real period |
R |
3.773618655158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46144n1 5768b1 |
Quadratic twists by: -4 8 |