Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240m |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-240442931948800000 = -1 · 211 · 55 · 711 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,146200,9627500] |
[a1,a2,a3,a4,a6] |
j |
1434315418702/997915625 |
j-invariant |
L |
3.9548224913232 |
L(r)(E,1)/r! |
Ω |
0.19774112456715 |
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 |
74480s1 5320a1 |
Quadratic twists by: -4 -7 |