Atkin-Lehner |
3+ 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90525a |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
281088 |
Modular degree for the optimal curve |
Δ |
-45085693359375 = -1 · 32 · 512 · 172 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7562,203906] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:222:1] |
Generators of the group modulo torsion |
j |
3060624960359/2885484375 |
j-invariant |
L |
2.611728843765 |
L(r)(E,1)/r! |
Ω |
0.41900262604779 |
Real period |
R |
1.5583010058047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999592023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18105k1 |
Quadratic twists by: 5 |