Atkin-Lehner |
3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72075y |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-454441596075 = -1 · 39 · 52 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 -4 -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1902,-5553] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-1311:1] [6:75:1] |
Generators of the group modulo torsion |
j |
32957495/19683 |
j-invariant |
L |
7.4020950963371 |
L(r)(E,1)/r! |
Ω |
0.54717793018942 |
Real period |
R |
0.50102837689357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075q1 72075i1 |
Quadratic twists by: 5 -31 |