Atkin-Lehner |
3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37905v |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
684000 |
Modular degree for the optimal curve |
Δ |
-1114546324565625 = -1 · 3 · 55 · 7 · 198 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4323885,3460303122] |
[a1,a2,a3,a4,a6] |
j |
-526401738615601/65625 |
j-invariant |
L |
1.9000207769787 |
L(r)(E,1)/r! |
Ω |
0.38000415539457 |
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 |
113715p1 37905i1 |
Quadratic twists by: -3 -19 |