Atkin-Lehner |
3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56277i |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
671232 |
Modular degree for the optimal curve |
Δ |
-196029539969341923 = -1 · 325 · 132 · 372 |
Discriminant |
Eigenvalues |
2 3- -2 1 -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,85839,18975505] |
[a1,a2,a3,a4,a6] |
j |
567758216450048/1591135948323 |
j-invariant |
L |
1.7876354074088 |
L(r)(E,1)/r! |
Ω |
0.22345442667417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18759e1 56277o1 |
Quadratic twists by: -3 13 |