Atkin-Lehner |
3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72075w |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
351540 |
Modular degree for the optimal curve |
Δ |
-575701450272675 = -1 · 33 · 52 · 318 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 2 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-99303,12066734] |
[a1,a2,a3,a4,a6] |
j |
-5079040/27 |
j-invariant |
L |
1.5595276693919 |
L(r)(E,1)/r! |
Ω |
0.51984255421092 |
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 |
72075p1 72075d1 |
Quadratic twists by: 5 -31 |