Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720k |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
121305600 = 29 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31203,-2121498] |
[a1,a2,a3,a4,a6] |
Generators |
[1634:1295:8] |
Generators of the group modulo torsion |
j |
9001508089608/325 |
j-invariant |
L |
5.108455912235 |
L(r)(E,1)/r! |
Ω |
0.35921169509848 |
Real period |
R |
7.1106480968478 |
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 |
18720m3 37440fg4 2080e3 93600dq4 |
Quadratic twists by: -4 8 -3 5 |