Atkin-Lehner |
3+ 5- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90525h |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66304 |
Modular degree for the optimal curve |
Δ |
-23083875 = -1 · 32 · 53 · 172 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5- 5 4 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1563,-23272] |
[a1,a2,a3,a4,a6] |
j |
-3380402880512/184671 |
j-invariant |
L |
3.0370031117115 |
L(r)(E,1)/r! |
Ω |
0.37962537902772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90525r1 |
Quadratic twists by: 5 |