Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240n |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3868521984000 = -1 · 212 · 33 · 53 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3732,-129056] |
[a1,a2,a3,a4,a6] |
j |
-51978639168/34980125 |
j-invariant |
L |
3.5581542497361 |
L(r)(E,1)/r! |
Ω |
0.29651285447477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240v1 33120v1 66240i1 |
Quadratic twists by: -4 8 -3 |