Atkin-Lehner |
2- 5+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310r |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
556212800 = 26 · 52 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1106,14020] |
[a1,a2,a3,a4,a6] |
Generators |
[16:14:1] [-32:146:1] |
Generators of the group modulo torsion |
j |
149628263143969/556212800 |
j-invariant |
L |
7.6041434169734 |
L(r)(E,1)/r! |
Ω |
1.6473162340256 |
Real period |
R |
0.38467332804253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121550j1 |
Quadratic twists by: 5 |