Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101080o |
Isogeny class |
Conductor |
101080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-421531093760 = -1 · 28 · 5 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -5 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,-31661] |
[a1,a2,a3,a4,a6] |
Generators |
[861:25270:1] |
Generators of the group modulo torsion |
j |
-1024/35 |
j-invariant |
L |
5.1725138096488 |
L(r)(E,1)/r! |
Ω |
0.41120977361284 |
Real period |
R |
3.1446928891082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
280a1 |
Quadratic twists by: -19 |