Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cr |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
111173789559849408 = 26 · 316 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165963,-20490820] |
[a1,a2,a3,a4,a6] |
Generators |
[1884695838970:-83860601008149:912673000] |
Generators of the group modulo torsion |
j |
92100460096/20253807 |
j-invariant |
L |
7.5436747951273 |
L(r)(E,1)/r! |
Ω |
0.24024210655833 |
Real period |
R |
15.700151199964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224cs1 14112bc2 9408t1 4032k1 |
Quadratic twists by: -4 8 -3 -7 |