Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bt |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1940056416049752 = 23 · 38 · 76 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36972,-1733966] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1002:1] |
Generators of the group modulo torsion |
j |
47504791830313/16490207448 |
j-invariant |
L |
4.4004417587633 |
L(r)(E,1)/r! |
Ω |
0.35407007389692 |
Real period |
R |
0.38838019674444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ff3 858a4 |
Quadratic twists by: -3 -7 |