Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560h |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-6534000 = -1 · 24 · 33 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,99] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-15:1] |
Generators of the group modulo torsion |
j |
76032/125 |
j-invariant |
L |
4.4350233040911 |
L(r)(E,1)/r! |
Ω |
1.6222052768497 |
Real period |
R |
0.22782891944373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120o1 43560bj1 43560bn1 |
Quadratic twists by: -4 -3 -11 |