Atkin-Lehner |
3- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225q |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-9714568761675 = -1 · 318 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1691,-152467] |
[a1,a2,a3,a4,a6] |
Generators |
[534:1187:8] |
Generators of the group modulo torsion |
j |
-21372005884945/388582750467 |
j-invariant |
L |
9.2933156282359 |
L(r)(E,1)/r! |
Ω |
0.31271741803076 |
Real period |
R |
1.650996340305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225g1 |
Quadratic twists by: 5 |