Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950cw |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
4789296750000000 = 27 · 3 · 59 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-313600188,-2137557937008] |
[a1,a2,a3,a4,a6] |
j |
218289391029690300712901881/306514992000 |
j-invariant |
L |
4.0181255148204 |
L(r)(E,1)/r! |
Ω |
0.03587612066804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850cd4 3990g3 |
Quadratic twists by: -3 5 |