Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656dp |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
9.7362557355583E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14413560,21052106964] |
[a1,a2,a3,a4,a6] |
Generators |
[-378:162624:1] |
Generators of the group modulo torsion |
j |
45637459887836881/13417633152 |
j-invariant |
L |
6.2326108324559 |
L(r)(E,1)/r! |
Ω |
0.18546694199621 |
Real period |
R |
0.70010352040057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082e2 121968gm2 3696x2 |
Quadratic twists by: -4 -3 -11 |