Atkin-Lehner |
3- 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90525n |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
-9017138671875 = -1 · 32 · 511 · 172 · 71 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 0 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3758,168269] |
[a1,a2,a3,a4,a6] |
Generators |
[-1628:31843:64] |
Generators of the group modulo torsion |
j |
-375741853696/577096875 |
j-invariant |
L |
18.386805026211 |
L(r)(E,1)/r! |
Ω |
0.65648198540196 |
Real period |
R |
1.7505054804286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105e1 |
Quadratic twists by: 5 |