Atkin-Lehner |
3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72075p |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1757700 |
Modular degree for the optimal curve |
Δ |
-8995335160510546875 = -1 · 33 · 58 · 318 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 2 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2482583,1513306943] |
[a1,a2,a3,a4,a6] |
j |
-5079040/27 |
j-invariant |
L |
0.69744199381098 |
L(r)(E,1)/r! |
Ω |
0.23248065776255 |
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 |
72075w1 72075bj1 |
Quadratic twists by: 5 -31 |