Atkin-Lehner |
3- 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75225x |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
99456 |
Modular degree for the optimal curve |
Δ |
79242391125 = 37 · 53 · 173 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 -4 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1088,2384] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:127:1] |
Generators of the group modulo torsion |
j |
1140511035392/633939129 |
j-invariant |
L |
3.7761994214544 |
L(r)(E,1)/r! |
Ω |
0.93986575800189 |
Real period |
R |
0.095662076506628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225i1 |
Quadratic twists by: 5 |