Atkin-Lehner |
3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975bf |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-11725467514453125 = -1 · 36 · 58 · 175 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 3 0 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,30174,-4800827] |
[a1,a2,a3,a4,a6] |
j |
7778270195015/30017196837 |
j-invariant |
L |
3.6745644295228 |
L(r)(E,1)/r! |
Ω |
0.20414246830659 |
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 |
110925by1 36975m1 |
Quadratic twists by: -3 5 |