Atkin-Lehner |
2- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350bc |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-7920640000000 = -1 · 216 · 57 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1895,-132103] |
[a1,a2,a3,a4,a6] |
Generators |
[75:616:1] |
Generators of the group modulo torsion |
j |
48188806119/506920960 |
j-invariant |
L |
10.226800411997 |
L(r)(E,1)/r! |
Ω |
0.36426727580765 |
Real period |
R |
3.5093738473455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15470g1 |
Quadratic twists by: 5 |