Atkin-Lehner |
2+ 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150f |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
45239407200 = 25 · 39 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2040,33120] |
[a1,a2,a3,a4,a6] |
j |
37584329167345/1809576288 |
j-invariant |
L |
2.2461144989093 |
L(r)(E,1)/r! |
Ω |
1.1230572494575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450dl1 33150ci1 |
Quadratic twists by: -3 5 |