Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300bu |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4063500000000 = -1 · 28 · 33 · 59 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,667,-96537] |
[a1,a2,a3,a4,a6] |
Generators |
[58:375:1] |
Generators of the group modulo torsion |
j |
65536/8127 |
j-invariant |
L |
9.1288530366846 |
L(r)(E,1)/r! |
Ω |
0.3699236948352 |
Real period |
R |
1.3709813923046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90300u1 |
Quadratic twists by: 5 |