Atkin-Lehner |
2+ 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530i |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
1926315198720 = 28 · 37 · 5 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5940,164560] |
[a1,a2,a3,a4,a6] |
Generators |
[33:44:1] |
Generators of the group modulo torsion |
j |
31797768594241/2642407680 |
j-invariant |
L |
2.4810584731698 |
L(r)(E,1)/r! |
Ω |
0.81179080786453 |
Real period |
R |
1.528139053285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510n1 |
Quadratic twists by: -3 |