Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
90900f |
Isogeny class |
Conductor |
90900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-11565289900800 = -1 · 28 · 311 · 52 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16320,818980] |
[a1,a2,a3,a4,a6] |
Generators |
[84:202:1] |
Generators of the group modulo torsion |
j |
-103033077760/2478843 |
j-invariant |
L |
8.6091104283996 |
L(r)(E,1)/r! |
Ω |
0.7151209911911 |
Real period |
R |
1.003223060059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30300m1 90900r1 |
Quadratic twists by: -3 5 |