Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642i |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
165288697100856 = 23 · 35 · 711 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 -7 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-718071,233906877] |
[a1,a2,a3,a4,a6] |
Generators |
[13161:-5380:27] |
Generators of the group modulo torsion |
j |
348047549263412713/1404930744 |
j-invariant |
L |
3.515421531735 |
L(r)(E,1)/r! |
Ω |
0.50450050664702 |
Real period |
R |
1.7420307241607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136cn1 37926ca1 1806d1 |
Quadratic twists by: -4 -3 -7 |