Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46620x |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-126880992000 = -1 · 28 · 37 · 53 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1248,-2396] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-630:1] |
Generators of the group modulo torsion |
j |
1151860736/679875 |
j-invariant |
L |
6.2016594476151 |
L(r)(E,1)/r! |
Ω |
0.61149045786555 |
Real period |
R |
0.14085936728285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15540h1 |
Quadratic twists by: -3 |