Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050s |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-122107500 = -1 · 22 · 36 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-126,748] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:21:1] [-7:39:1] |
Generators of the group modulo torsion |
j |
-349938025/195372 |
j-invariant |
L |
4.7771895590831 |
L(r)(E,1)/r! |
Ω |
1.7275622061066 |
Real period |
R |
0.69131947060955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
80400cm1 30150cy1 10050u1 |
Quadratic twists by: -4 -3 5 |