Atkin-Lehner |
3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655l |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
69694979812118325 = 322 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104679,2959060] |
[a1,a2,a3,a4,a6] |
j |
174011204426291569/95603538836925 |
j-invariant |
L |
1.2056476488869 |
L(r)(E,1)/r! |
Ω |
0.30141191222171 |
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 |
3885a3 58275s3 81585s3 |
Quadratic twists by: -3 5 -7 |