Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
90900a |
Isogeny class |
Conductor |
90900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-795193200 = -1 · 24 · 39 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,135,-1215] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] [16:71:1] |
Generators of the group modulo torsion |
j |
34560/101 |
j-invariant |
L |
11.454956634283 |
L(r)(E,1)/r! |
Ω |
0.81630469551963 |
Real period |
R |
2.3387828706012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90900b1 90900c1 |
Quadratic twists by: -3 5 |