Atkin-Lehner |
2- 3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950cj |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
294727680000 = 215 · 33 · 54 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2138,27492] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:214:1] |
Generators of the group modulo torsion |
j |
1729336440625/471564288 |
j-invariant |
L |
13.15669106333 |
L(r)(E,1)/r! |
Ω |
0.90717355046487 |
Real period |
R |
0.96686321724727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994444 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
79950b1 |
Quadratic twists by: 5 |