Atkin-Lehner |
2- 3+ 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950bs |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
14942693376000 = 214 · 34 · 53 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11303,418781] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:242:1] [35:242:1] |
Generators of the group modulo torsion |
j |
1277607002116229/119541547008 |
j-invariant |
L |
13.196734924021 |
L(r)(E,1)/r! |
Ω |
0.6822309109734 |
Real period |
R |
0.46055956909531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79950y1 |
Quadratic twists by: 5 |