Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
90900t |
Isogeny class |
Conductor |
90900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-441774000 = -1 · 24 · 37 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -5 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840,9425] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-45:1] [-20:135:1] |
Generators of the group modulo torsion |
j |
-44957696/303 |
j-invariant |
L |
9.3064300691895 |
L(r)(E,1)/r! |
Ω |
1.6806513736614 |
Real period |
R |
0.23072478065435 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30300h1 90900s1 |
Quadratic twists by: -3 5 |