Atkin-Lehner |
2+ 3+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37944a |
Isogeny class |
Conductor |
37944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
244224 |
Modular degree for the optimal curve |
Δ |
-32022084214426032 = -1 · 24 · 33 · 174 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53730,-7151599] |
[a1,a2,a3,a4,a6] |
j |
39709140509952000/74125194940801 |
j-invariant |
L |
1.5483958788828 |
L(r)(E,1)/r! |
Ω |
0.19354948485537 |
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 |
75888b1 37944h1 |
Quadratic twists by: -4 -3 |