Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12460b |
Isogeny class |
Conductor |
12460 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2664 |
Modular degree for the optimal curve |
Δ |
-2442160 = -1 · 24 · 5 · 73 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,604] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:35:1] |
Generators of the group modulo torsion |
j |
-19513606144/152635 |
j-invariant |
L |
2.8109645611425 |
L(r)(E,1)/r! |
Ω |
2.5913385966669 |
Real period |
R |
1.0847538661131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49840k1 112140r1 62300c1 87220r1 |
Quadratic twists by: -4 -3 5 -7 |