Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4160i |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
2726297600000 = 226 · 55 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53825,-4823777] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:25:1] |
Generators of the group modulo torsion |
j |
65787589563409/10400000 |
j-invariant |
L |
2.4066951498031 |
L(r)(E,1)/r! |
Ω |
0.31344185753511 |
Real period |
R |
1.5356565129681 |
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 |
4160q1 130c1 37440bx1 20800n1 |
Quadratic twists by: -4 8 -3 5 |