Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976r |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-7.8306312099707E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4382833,-3558704593] |
[a1,a2,a3,a4,a6] |
Generators |
[437942443:32706364752:68921] |
Generators of the group modulo torsion |
j |
-568288203127281250000/4779437994366903 |
j-invariant |
L |
7.1197769193623 |
L(r)(E,1)/r! |
Ω |
0.052145018552491 |
Real period |
R |
13.653800721529 |
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 |
38976bl1 4872b1 116928w1 |
Quadratic twists by: -4 8 -3 |