Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720m |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
4 |
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 |
[138:666:1] |
Generators of the group modulo torsion |
j |
9001508089608/325 |
j-invariant |
L |
4.1500335347577 |
L(r)(E,1)/r! |
Ω |
1.374636717514 |
Real period |
R |
3.0190038443487 |
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 |
18720k2 37440fk4 2080f2 93600do4 |
Quadratic twists by: -4 8 -3 5 |