Atkin-Lehner |
2+ 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720m |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
728 |
Product of Tamagawa factors cp |
deg |
1607424 |
Modular degree for the optimal curve |
Δ |
-2.3689804436177E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -5 13- -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,595759,153532659] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:10530:1] [-201:5070:1] |
Generators of the group modulo torsion |
j |
91347118734920969216/92538298578816675 |
j-invariant |
L |
10.41956859457 |
L(r)(E,1)/r! |
Ω |
0.14071248949774 |
Real period |
R |
0.10171516596991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115440g1 |
Quadratic twists by: -4 |