Atkin-Lehner |
2- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34960k |
Isogeny class |
Conductor |
34960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-4020400 = -1 · 24 · 52 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32,119] |
[a1,a2,a3,a4,a6] |
Generators |
[85:782:1] |
Generators of the group modulo torsion |
j |
-226492416/251275 |
j-invariant |
L |
6.5086898987341 |
L(r)(E,1)/r! |
Ω |
2.2442136048843 |
Real period |
R |
2.900209625576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8740c1 |
Quadratic twists by: -4 |