Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700bf |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
438480 |
Modular degree for the optimal curve |
Δ |
-7494241300000000 = -1 · 28 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 5 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14292,4117588] |
[a1,a2,a3,a4,a6] |
Generators |
[496730331:10535075284:1295029] |
Generators of the group modulo torsion |
j |
560/13 |
j-invariant |
L |
4.8872039110828 |
L(r)(E,1)/r! |
Ω |
0.31288947872637 |
Real period |
R |
15.619585329117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700g1 63700bs1 |
Quadratic twists by: 5 -7 |