Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504bf |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
60523872256 = 216 · 314 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 -5 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1281,12671] |
[a1,a2,a3,a4,a6] |
Generators |
[103:992:1] [7:64:1] |
Generators of the group modulo torsion |
j |
3844 |
j-invariant |
L |
9.8004191714853 |
L(r)(E,1)/r! |
Ω |
1.0378159795446 |
Real period |
R |
0.78694259263829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504f1 15376c1 61504bu1 |
Quadratic twists by: -4 8 -31 |