Atkin-Lehner |
3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2139c |
Isogeny class |
Conductor |
2139 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-12181842687769803 = -1 · 33 · 232 · 318 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,56936,929435] |
[a1,a2,a3,a4,a6] |
j |
20411931106401081983/12181842687769803 |
j-invariant |
L |
0.73524009921284 |
L(r)(E,1)/r! |
Ω |
0.24508003307095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34224bb5 6417h6 53475c5 104811e5 |
Quadratic twists by: -4 -3 5 -7 |