Atkin-Lehner |
3- 5- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73935k |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
385920 |
Modular degree for the optimal curve |
Δ |
-65186631883125 = -1 · 36 · 54 · 312 · 533 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -4 3 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-155979,-23675090] |
[a1,a2,a3,a4,a6] |
j |
-575699888159848369/89419248125 |
j-invariant |
L |
0.96092353584506 |
L(r)(E,1)/r! |
Ω |
0.12011544335074 |
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 |
8215b1 |
Quadratic twists by: -3 |