Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220z |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
9.49895084775E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1365156,-396727500] |
[a1,a2,a3,a4,a6] |
Generators |
[1767246:158165189:216] |
Generators of the group modulo torsion |
j |
9342060412991056/3153896484375 |
j-invariant |
L |
6.9201489908465 |
L(r)(E,1)/r! |
Ω |
0.14348058198425 |
Real period |
R |
8.038426867181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660by2 5460c2 |
Quadratic twists by: -3 -7 |