Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240l |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2974320 = -1 · 24 · 37 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-83] |
[a1,a2,a3,a4,a6] |
j |
-256/255 |
j-invariant |
L |
2.2881797908699 |
L(r)(E,1)/r! |
Ω |
1.144089895435 |
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 |
6120t1 48960fk1 4080p1 61200bz1 |
Quadratic twists by: -4 8 -3 5 |