Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bg |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
32241344661328125 = 3 · 58 · 317 |
Discriminant |
Eigenvalues |
0 3- 5- 0 3 -4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-80083,-1233506] |
[a1,a2,a3,a4,a6] |
j |
163840/93 |
j-invariant |
L |
1.8385557059965 |
L(r)(E,1)/r! |
Ω |
0.30642595054607 |
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 |
72075b1 2325c1 |
Quadratic twists by: 5 -31 |