Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150cs |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-3696065253125000 = -1 · 23 · 58 · 72 · 176 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,32362,1893531] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:727:1] |
Generators of the group modulo torsion |
j |
397535/392 |
j-invariant |
L |
6.7985817356245 |
L(r)(E,1)/r! |
Ω |
0.29142829717726 |
Real period |
R |
3.8880814583884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999755785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150s1 350b1 |
Quadratic twists by: 5 17 |