Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bv |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
31008452493312 = 214 · 38 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10449,308367] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:336:1] [-93:696:1] |
Generators of the group modulo torsion |
j |
7701397204048/1892605743 |
j-invariant |
L |
9.5247418653128 |
L(r)(E,1)/r! |
Ω |
0.61892977108885 |
Real period |
R |
0.32060523093749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976c2 9744j2 116928eq2 |
Quadratic twists by: -4 8 -3 |