Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dc |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
9510359040 = 212 · 36 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9603,362178] |
[a1,a2,a3,a4,a6] |
Generators |
[66:126:1] |
Generators of the group modulo torsion |
j |
32798729601/3185 |
j-invariant |
L |
6.5386113516507 |
L(r)(E,1)/r! |
Ω |
1.2394312372432 |
Real period |
R |
1.3188733581388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4095g1 7280w1 |
Quadratic twists by: -4 -3 |