Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600bv |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
284160 |
Modular degree for the optimal curve |
Δ |
-52480000000000 = -1 · 217 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -2 -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567500,-164550000] |
[a1,a2,a3,a4,a6] |
Generators |
[1145966910:667759626928:3375] |
Generators of the group modulo torsion |
j |
-15791062050/41 |
j-invariant |
L |
5.6519749712814 |
L(r)(E,1)/r! |
Ω |
0.086971713168835 |
Real period |
R |
16.246589739785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65600q1 16400i1 65600ci1 |
Quadratic twists by: -4 8 5 |