Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596h |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4064256 |
Modular degree for the optimal curve |
Δ |
-2.6487361858744E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2792556,-3059021511] |
[a1,a2,a3,a4,a6] |
Generators |
[81042:23065965:1] |
Generators of the group modulo torsion |
j |
-1584375054336/1742478049 |
j-invariant |
L |
4.4608346322248 |
L(r)(E,1)/r! |
Ω |
0.055977255155155 |
Real period |
R |
6.6408439445686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115596g1 8892e1 |
Quadratic twists by: -3 13 |