Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9555l |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
174245185218706875 = 312 · 54 · 79 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1183890,-495896220] |
[a1,a2,a3,a4,a6] |
j |
1559802282754777489/1481059636875 |
j-invariant |
L |
0.57897053632078 |
L(r)(E,1)/r! |
Ω |
0.1447426340802 |
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 |
28665bd4 47775cf4 1365d3 124215g4 |
Quadratic twists by: -3 5 -7 13 |