Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cm |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-26468750000000 = -1 · 27 · 512 · 7 · 112 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- -7 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16214338,25123502031] |
[a1,a2,a3,a4,a6] |
Generators |
[-3135:214067:1] [2325:-1213:1] |
Generators of the group modulo torsion |
j |
-249353795628717731809/14000000 |
j-invariant |
L |
11.105686773301 |
L(r)(E,1)/r! |
Ω |
0.36534149020038 |
Real period |
R |
1.0856463914282 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470d2 42350l2 |
Quadratic twists by: 5 -11 |