Atkin-Lehner |
2+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
37088a |
Isogeny class |
Conductor |
37088 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-214220288 = -1 · 29 · 193 · 61 |
Discriminant |
Eigenvalues |
2+ 1 0 -2 1 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248,1580] |
[a1,a2,a3,a4,a6] |
j |
-3307949000/418399 |
j-invariant |
L |
1.7225037582482 |
L(r)(E,1)/r! |
Ω |
1.722503758234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37088b1 74176o1 |
Quadratic twists by: -4 8 |