Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19240i |
Isogeny class |
Conductor |
19240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
171207140000000000 = 211 · 510 · 132 · 373 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 6 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2174736,-1233520564] |
[a1,a2,a3,a4,a6] |
Generators |
[-199078193118033348671033760989140273365:15229934907157561189089522682215267508:236085017451465084493621262623134687] |
Generators of the group modulo torsion |
j |
555409866828171322658/83597236328125 |
j-invariant |
L |
7.4099864396346 |
L(r)(E,1)/r! |
Ω |
0.12432309822475 |
Real period |
R |
59.602652648173 |
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 |
38480c2 96200a2 |
Quadratic twists by: -4 5 |