Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150bx |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.1108518208984E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100919301192,12339863238865216] |
[a1,a2,a3,a4,a6] |
j |
9979272034751434818294873579961/185314837500000000000 |
j-invariant |
L |
0.53297770966525 |
L(r)(E,1)/r! |
Ω |
0.033311151605137 |
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 |
37050bt2 22230bl2 |
Quadratic twists by: -3 5 |