Atkin-Lehner |
2+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
37024b |
Isogeny class |
Conductor |
37024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5483106304 = -1 · 212 · 132 · 892 |
Discriminant |
Eigenvalues |
2+ 2 2 4 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1537,23985] |
[a1,a2,a3,a4,a6] |
j |
-98099748928/1338649 |
j-invariant |
L |
5.4378072707439 |
L(r)(E,1)/r! |
Ω |
1.3594518176905 |
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 |
37024d2 74048o1 |
Quadratic twists by: -4 8 |