Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152bl |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1979803485983232 = 29 · 34 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7155584,7369810680] |
[a1,a2,a3,a4,a6] |
j |
672668087746709384/32867289 |
j-invariant |
L |
1.3951998922939 |
L(r)(E,1)/r! |
Ω |
0.3487999727174 |
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 |
61152cc4 122304hf4 8736v2 |
Quadratic twists by: -4 8 -7 |