Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
105996g |
Isogeny class |
Conductor |
105996 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-8044984468224 = -1 · 28 · 35 · 116 · 73 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7421,-283857] |
[a1,a2,a3,a4,a6] |
Generators |
[106:363:1] |
Generators of the group modulo torsion |
j |
-99672064/17739 |
j-invariant |
L |
9.0847462853945 |
L(r)(E,1)/r! |
Ω |
0.25471825236228 |
Real period |
R |
1.7832931449304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
876b1 |
Quadratic twists by: -11 |