Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480y |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
2026997075250000 = 24 · 36 · 56 · 72 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3708481,-2747557400] |
[a1,a2,a3,a4,a6] |
Generators |
[-5176916500:135696330:4657463] |
Generators of the group modulo torsion |
j |
352526704772352391266304/126687317203125 |
j-invariant |
L |
5.8333902169252 |
L(r)(E,1)/r! |
Ω |
0.10879289653832 |
Real period |
R |
8.9365366066408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620i1 |
Quadratic twists by: -4 |