Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720a |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
4707123200 = 216 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-428,-848] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:32:1] |
Generators of the group modulo torsion |
j |
132304644/71825 |
j-invariant |
L |
6.894587268838 |
L(r)(E,1)/r! |
Ω |
1.119363404029 |
Real period |
R |
1.5398456040134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720t1 8840b1 |
Quadratic twists by: -4 8 |