Atkin-Lehner |
3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075n |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34836480 |
Modular degree for the optimal curve |
Δ |
1.2015264094315E+25 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -4 5 -6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-61002678,-76256353222] |
[a1,a2,a3,a4,a6] |
j |
1131514829301821440/541530783546813 |
j-invariant |
L |
0.113284393223 |
L(r)(E,1)/r! |
Ω |
0.056642207712904 |
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 |
72075bp1 2325k1 |
Quadratic twists by: 5 -31 |