Atkin-Lehner |
2+ 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
9150g |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-127080306432000 = -1 · 211 · 37 · 53 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -4 3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3905,-552075] |
[a1,a2,a3,a4,a6] |
Generators |
[105:405:1] |
Generators of the group modulo torsion |
j |
-52704849262157/1016642451456 |
j-invariant |
L |
2.3637735269144 |
L(r)(E,1)/r! |
Ω |
0.25272691492412 |
Real period |
R |
1.5588456599647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200db1 27450cg1 9150ba1 |
Quadratic twists by: -4 -3 5 |