Atkin-Lehner |
2- 3- 5- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
102510bb |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
311296 |
Modular degree for the optimal curve |
Δ |
-102031073280000 = -1 · 216 · 37 · 54 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10453,-261381] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-1494:1] |
Generators of the group modulo torsion |
j |
173283808729751/139960320000 |
j-invariant |
L |
10.931323183568 |
L(r)(E,1)/r! |
Ω |
0.33132737765265 |
Real period |
R |
0.25775401609843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34170a1 |
Quadratic twists by: -3 |