Atkin-Lehner |
3+ 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93075i |
Isogeny class |
Conductor |
93075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1454296875 = -1 · 3 · 58 · 17 · 73 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 5 -2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-408,-3532] |
[a1,a2,a3,a4,a6] |
Generators |
[82:712:1] |
Generators of the group modulo torsion |
j |
-481890304/93075 |
j-invariant |
L |
3.0799473100838 |
L(r)(E,1)/r! |
Ω |
0.52553918828661 |
Real period |
R |
2.9302736882233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18615g1 |
Quadratic twists by: 5 |