Atkin-Lehner |
2- 3- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126bb |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1257372469592064 = -1 · 215 · 38 · 73 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14574,-1564668] |
[a1,a2,a3,a4,a6] |
Generators |
[336:6258:1] |
Generators of the group modulo torsion |
j |
342340393271581151/1257372469592064 |
j-invariant |
L |
10.853778851563 |
L(r)(E,1)/r! |
Ω |
0.24632327005707 |
Real period |
R |
0.061198817496613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378r1 |
Quadratic twists by: -3 |