Atkin-Lehner |
3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405b |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-2373577398675 = -1 · 39 · 52 · 76 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -3 -4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21168,1187723] |
[a1,a2,a3,a4,a6] |
Generators |
[-1134:9257:8] [81:-68:1] |
Generators of the group modulo torsion |
j |
-452984832/1025 |
j-invariant |
L |
8.0406319613256 |
L(r)(E,1)/r! |
Ω |
0.81884995100596 |
Real period |
R |
1.2274275573708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405g1 1845b1 |
Quadratic twists by: -3 -7 |