Atkin-Lehner |
2- 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38280o |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
563046972903993600 = 28 · 310 · 52 · 116 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-543540,-149773788] |
[a1,a2,a3,a4,a6] |
j |
69371179051583568976/2199402237906225 |
j-invariant |
L |
2.1140541631414 |
L(r)(E,1)/r! |
Ω |
0.17617118025857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76560o2 114840f2 |
Quadratic twists by: -4 -3 |