Atkin-Lehner |
2- 3+ 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170m |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
183480494987643750 = 2 · 310 · 55 · 136 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3422211,-2438073717] |
[a1,a2,a3,a4,a6] |
Generators |
[4494134084924166:100222936628500553:1885483737864] |
Generators of the group modulo torsion |
j |
4432452281325655225664689/183480494987643750 |
j-invariant |
L |
7.8489100815114 |
L(r)(E,1)/r! |
Ω |
0.11100024489937 |
Real period |
R |
23.570248542008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120510k2 |
Quadratic twists by: -3 |