Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
21240f |
Isogeny class |
Conductor |
21240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
103226400000 = 28 · 37 · 55 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 -5 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,35764] |
[a1,a2,a3,a4,a6] |
Generators |
[1118:37350:1] [-22:270:1] |
Generators of the group modulo torsion |
j |
6072054784/553125 |
j-invariant |
L |
7.1085120261099 |
L(r)(E,1)/r! |
Ω |
1.0334812780315 |
Real period |
R |
0.085977755200007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42480l1 7080k1 106200bk1 |
Quadratic twists by: -4 -3 5 |