Atkin-Lehner |
2+ 3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31302c |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
357500142 = 2 · 37 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10647,-420201] |
[a1,a2,a3,a4,a6] |
j |
183105289536625/490398 |
j-invariant |
L |
1.8799698756381 |
L(r)(E,1)/r! |
Ω |
0.46999246891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10434i2 |
Quadratic twists by: -3 |